My gym workout

I highly recommend "The New Rules of Lifting For Woman" by Lou Schuler. Great lifting program and sound nutritional advice. $18 dollars at Barnes and Noble.

Use stronglifts instead of NROLFW.
I did Stage 1 and it's rather complicated.

I think the ease of Stronglifts will be better for you - it's 5 moves to remember - forever. Whereas NROLFW Stage 1, is 12. And then it changes between stages. Plus Stronglifts is free.

While not suggested, you could start with dumbbells for SL then move up to fixed weight barbells then the oly bar with plates.

Does anyone have a free weight workout for beginners? This is usually the busiest part of the gym with all the guys using the equipment (scary)

When I started going to the gym (5 months ago), I had no idea what I was doing and was intimidated by pretty much everything in there. Here's what I did:

Mon/Wed/Fri - couch to 5K program on the treadmill
Tuesdays/Thursdays - 3 or 4 sets of each exercise, with a minute or so rest in between circuits (so do one set of each, rest, do another set of each, rest). Use the maximum weight you can use and still do all the reps with good form. Aim for 8 reps, when you can do 10, move up in weight. These are all with dumbbells...if you can't hold weight on some stuff (lunges, squats), just do bodyweight for now and work up to it).
One day I would do alternating bicep curls, tricep kickbacks, bent over rows, chest press
The other day I would do alternating shoulder press, squats, lunges, bent arm side raises, calf raises

Now I do mostly bodyweight with a little bit of free weights. I still do circuits.
I do:
Pushups - you can make them easier by doing them on an incline
Hanging knee raises off a pullup bar...they have them on lots of gym equipment - Start trying to get your thighs parallel to the ground, then try to pull your knees to your chest when that gets easy
Inverted rows - work up to this once you can do bent over rows with 25lbs
Goblet squats or dumbbell lunges
Core exercise (russian twists currently).
I still do sets of 8-10 except core exercises which I usually do sets of 20-40.

Everyone saying the OP is lifting light, I'm guessing those weights are in KG since her height's in meters. She's not curling 4lb dumbbells.

OP, you really do need a structured, full-body program. The ones on here that have been suggested are good. Getting a trainer to show you form and develop a workout for you might be a good option too. But whatever you settle on, make sure ALL your muscles get worked and you don't work the same muscles two days in a row. Compound movements will hit multiple muscles at once so you don't have to do an individual exercise for each one - it saves time and gives you a better workout.

If you're interested in weights, might I reccomend AWorkoutRoutine.com and a pad/ paper?

I use the JefIt app on my phone, but not everyone has a smart phone.

I do a rotating up/ low split three times a week - so this week, I might do arms, back, chest/ legs & glutes/ arms, back, chest; next week I'd do legs & glutes/ arms, back, chest/ legs & glutes. That way, in a 7 day period, I'm hitting each area 2 to 3 times.

I build my progression differently than many - I shoot for 3 sets of 8, and if I can do 8 comfortably, I shoot for 12. If I can do 12, I aim for 15. If I can do 15, I increase my weight so 8 is a challenge.

Maybe even looking at buying a barbell set, what weight is best to get up to 22.5kg or 30kg?

TBH I would save up until you can get an Olympic style barbell set. Here they are usually 300lb sets, so that's something like a 135kg set. At minimum you really want an olympic bar (20.4 kg standard, I believe) and a pair of plates that same weight, because deadlifts. To some extent, learning proper form is going to require that the bar be the thickness of a true oly bar, so I'd just hold off until I could get one of those.

Regardless of what you get- look for it used in the local ads. People buy stuff, don't use it, and then sell it cheap all the time.

Looks like a decent set of exercises, though you probably need to add squats.

My wife loves Body Pump but it's really conditioning and endurance, not strength. Give it a try.

I highly recommend "The New Rules of Lifting For Woman" by Lou Schuler. Great lifting program and sound nutritional advice. $18 dollars at Barnes and Noble.

Use stronglifts instead of NROLFW.
I did Stage 1 and it's rather complicated.

I think the ease of Stronglifts will be better for you - it's 5 moves to remember - forever. Whereas NROLFW Stage 1, is 12. And then it changes between stages. Plus Stronglifts is free.

While not suggested, you could start with dumbbells for SL then move up to fixed weight barbells then the oly bar with plates.

I don't think it's complicated but I hear Stronglifts is good too. I still recommend you read the NROLFW if for no other reason than the nutritional info.

Since you have a barbell, I would go for Stronglifts and then pick a class, any class to have fun and get your heart rate up even more. Although you can make your lifting into cardio by having less rest between sets!

I've looked at stronglift 5x5 workout A I have no way of doing the inverted rows (bench press I can do floor press) and workout b I currently have no way of doing pull-up/chin-up.

Can I do barbell rows instead of inverted rows?

Is SL 5x5:

Workout A - Squat 5x5 | Bench Press 5x5 | Inverted Rows 3x5 | Push-ups 3x5 | Reverse Crunch 3x12
Workout B - Squat 5x5 | Overhead Press 5x5 | Deadlift 1x5 | Pull-ups/Chin-ups 3x5 | Prone Bridges 3x30se

or this - http://stronglifts.com/stronglifts-advanced-strength-muscle-building-training-program/

Is it a continuous thing or a 12 week thing etc?

I thought you were an idiot and now you have gone out of your way to prove it. trolling wastes about nothing of my time, it must be hard to actually think of nonsense to respond to very lateral thinking. Or you are that stupid, therefore go to Jillian Michaels. feeeck orffff with you unsound rhetoric and I pity DAS FOO who actually thinks you are wanting help/ feck ooooooooooffff deerrrrtbag

You can get quite cheap pull up bars that go in door frames by friction - this would work for both your inverted row and pull up.

I believe with SL you can basically do it until you start to plateau - then drop it back and carry on again if you want.
I forget whether it was this or SS, but think it recommended that only if plateau three times maybe, that you should mix things up.

Clearly I am that stupid then! I have seen programmes without the chin ups, reverse crunches etc i.e the second link and wondered if I needed to add these or not.

For anyone who actually cares (prob no-one) i have down loaded the SL 5x5 spreadsheet and will be starting when I get back from my trip next week. Thanks again, maybe I won't post in here again.

Some people here just need to be ignored. Don't let him scare you off.

You can definitely start without chin-ups.