If you wanna lean out I would do the following:

MONDAY
Chest/tri/shoulders:

Flat bench ( I would use a hammer stregth of DBs safer for your shoulders)
1 set 15
1 set 12
1 set 8
1 set 6

InCline DB
1 set 15
1 set 12
1 set 8

Military Press
3 sets of 15 keep it lighter ( shoulders dont need alot of weight to grow)

Laterals
1 set 15
1 set 10
1 set 5

Tricep Pushdowns
2 sets 15
1 set 10
1 set 5

Skulls(if your elbows can take it) or Reversed push ups
1 set 15
1 set 10
1 set 5

Push ups (I would ditch the flies, rough on rotators) End with this
3 sets of as many as you can do till failure

WEDNESDAY
Back Biceps

hammer strength rows
2 sets 15
1 set 10
1 set 6

DB Rows
3 sets 15

lat pull downs
2 sets 15
1 set 10
1 set 6

shrugs

1 set 15
1 set 10
1 set 5

BB Curls

1 set 15
1 set 10
1 set 5

hammer strength bi preacher
1 set 15
1 set 10
1 set 5

hammer curls
1 set 10
1 set 6-8
1 set 3-5

FRIDAY
Legs

Squats (if you are worried about the weight on your back, do it with DB's in ur hands) Go light High reps to get used to it
3 sets of 15

Leg Press
2 sets 15
1 set 10
1 set 5

Calf Raises
3 sets of 20-25

I put the higher rep ranges and different exercises in her because I feel they will be beneficial for you. You said you wanted to loose weight, with the high rep ranges you will keep your heart rate up, I would only take 1 minute breaks between sets also. Also i would do abs everyday or everyother day, I would do high rep range situps, they work wonders.