Question for the lifters

Personally I just do compound lifts squats, bench, push press, deadlifts, cleans 3-4 x per week. Hits all areas - jobs a good un

If you want to split them up in a way that makes more sense you can change your upper body days to "push" and "pull" days - "push" will be chest/shoulders/tris and "pull" is back and bis.

To those who have had success lifting, do you train your biceps ans triceps separately on different days? I've always just done my arms in one session, but as I look at some sample lifting plans, many separate bis and Tris to different days. This is how I split my muscle groups

Tues Legs
Wed Arms and shoulders
Fri Back chest and abs

Is there a benefit to separating my arms into different days?

I do push pull days it is far simpler, start with the bigger muscles ie back and chest which work the triceps and biceps anyhow

I do full body circuits as I was told most effective for fat loss. I do this three times a week and cardio workouts on three days a week

I'd recommend getting on a beginner program such as ICF5x5 (http://www.muscleandstrength.com/workouts/jason-blaha-ice-cream-fitness-5x5-novice-workout)

If you want to do a split, the typical split is Chest/Tris, Back/Bis, Legs. The reason for that is because a lot of chest movements like the bench work tris too, and a lot of back movements like the BB Row work bis. Doing Bis/Tris together (or just an arm day) is pointless. Remember, beginners benefit from frequency over volume. Working a muscle 2-3 times a week is better than killing a body part once a week.

I don't see why you couldn't do them on the same day since they are complimentary muscle groups which can be supersetted
I regularly do upper/lower body splits lifting 4x per week
Doing push and pull movements on the same day are a good way to superset (one pull exercise with one push exercise) since you can do more volume in a shorter amount of time

The only problem i have with this and i have tried it is that for me general fatigue plays a part, for instance if i do bench press followed by lat pulldown, my lat pulldown is always affected, working different muscle groups doesn't mean that each group can be worked just as hard, not for me anyhow, if i superset everything apart from the first exercise everything else gets affected

What are your goals?

I train them on different days. Tri with chest and bi on a day where I do a lot of back movements.