I'm also new to lifting but I'm following this dumbbell workout: http://produmbbellworkouts.com/dumbbell-routines/full-body-high-volume/. I'm doing it exactly like it says to for now and I use Bowflex dumbbells and a bench at home to do it. The dumbbells came with an instructional DVD too that I use for learning form, but there are also youtube videos all over the place that are great for form. I use this log sheet to track everything: http://lifeofrose.wordpress.com/category/downloadables/health-and-fitness/. Once I've done this one for about 2-3 months I plan to check out Strong Lifts 5x5.

I alternate between Routine A and Routine B on Mon, Wed, Fri, with this week being ABA and every other week being BAB. I also increase my calories by a couple of hundred on lifting days.

Routine A:
Dumbbell Squats - 3 sets x 12 reps
Lunges - 3 sets x 12 reps
Kneeling one arm row - 3 sets x 12 reps
Incline dumbbell bench press - 3 sets x 12 reps
Dumbbell flies - 3 sets x 12 reps
Arnold press - 3 sets x 12 reps
Tricep kickbacks - 3 sets x 12 reps

Routine B:
Dumbbell Deadlifts - 3 sets x 12 reps
Dumbbell Bench Press - 3 sets x 12 reps
Decline pushups - 3 sets to failure each set (the decline is really difficult at the beginning so after that I did 3 sets to failure of my best normal pushups)
Side laterals - 3 sets x 12 reps
Dumbbell curls - 3 sets x 12 reps
Situps - 3 sets to failure each set (I can do a lot of these so I just stop when I feel I've done enough)

I do 3 times a week 40-45 minutes, usually Mon-Wed-Fri, whole body every time.

Usually a warm-up set at 12 reps with a lower weight and then 3x8

Squats
Sumo deadlifts
Sitting cable row (alternate high and low back muscle)
Pull down to chest
Chest press
Shoulder press
Leg press
Core (usually plank but also suspention exercises)