Not a bad split
Try to keep the session volume down a bit though, typically 8-12 work sets/session. This ensures a good balance between fatigue and growth. Also, when the volume gets high, the later exercises suffer a lot and you just end up going through the motions (getting a pump, prolonging recovery for no good return).
So you may have more volume on your primary movement for a bodypart, and less on your secondary/third one. Or as some people do, alternate movements for the same bodypart (e.g. lower chest on Monday, upper chest on Friday). Personally, I prefer to hit the muscle group with all it's exercises in one session (even if this means only doing 1 set for it) - my 3-way split easily allows more bodypart volume via extra exercises.
As a general rule of thumb, keep volume down to 4-6 exercises/session.
Along the same lines, bodypart weekly volume is good around the 8-12 set mark (mostly, except for when deloading/higher volume phases). For people who are more into their HIT (high intensity training...usually 1-2 sets taken to absolute failure or sometimes further), I'd say 4-8 sets/bodypart/week is more appropriate. This is because more intensity = more recovery and less tolerance to volume.
As for reps, you can expand them a little (e.g. 6-10 on most exercises). Back and biceps tend to respond better to higher volume (so either higher rep sets, or more sets, or more exercises...or a mix of all three). Chest/shoulders responds really well to the lower rep ranges.
Example routine (on first set, it should fall within rep range, then reps drop off on proceeding set):
2 sets per exercise
Barbell flat bench press, 6-8 reps
Rows, 10-12 reps
DB incline bench press, 8-10 reps
Chinups, 10-12 reps
Skull crushers, 8-10 reps
Incline seated DB curls, 8-10 reps
Squat, 3-5 reps, then drop load by ~20% and rep out (e.g. 12-20 reps)
Deadlift, 3-5 reps (ramp up to one set)
Standing calf raises, 10-15 reps
Seated calf raises, 12+ reps
Same as Monday except Shoulder Press replaces Incline Benching
After 3-4 months, switch exercises for the same bodypart (unless still making good progress). E.g. dips replace flat bench press, or pullups replace chinups, or t-bar row replaces dumbbell row etc.
Progression is the key.
Obviously, you will know your body better as you progress, and extra exercises/exercise adjustments may need to be made. This is why routines evolve. You may decide to train more often and go with a 3 way split (e.g. push/pull/legs) so that you can focus more on certain bodyparts. Whatever you do, be consistent and don't forget to eat for it. Most change their routine when it was their diet at fault (not enough protein/calories), don't make the same mistake!