DB Lateral and BB Front Raise?
 

Do those two exercises work out the same exact muscles or different parts? Also, when you do DB Laterals do you do both arms at the same time or one at a time?

Your hitting your lateral medial delts w/ lateral raises......The degree to which your actually working one more than the other depends on your angle at which your moving and well, your form period! The front raises OTOH, targets your front delts as long as your form is proper. lots of people SS fronts w/ laterals. Or seperate them ifyour lifting heavy.

yup, sngle_chck hit it. as far as doing the exercises, you can do either both arms at the same time, or one at a time. try them both. I usually do mine both arms at once, and single arm once I start to tire, ot I am concentrating.
Also try doing the raises while lying on a 45 degree or so angle. lie facing the bench. I used to do those a lot after my shoulder surgery.

Here's my routine for my shoulders..

ShoulderPress 3 sets 10/8/6 (adding weight)
UprightRows 3 sets 10/8/6 (adding wieght)
DB Lateral Raise 3 sets 10/8/6 (adding weight)
BB Rear Delt Row 3 sets 10/8/6 (adding weight)

I was thinking about changing the BB Rear Delt Row to BB front Raise or maybe someone else has a better exercise to suggest? Keep in mind I only have a Bench Press set and DBs.

No they are two completly different movements.

In a word: No
But they both work the traps

I prefer to do dumbell one arm at a time mostly because it eleviates the pressure on my lower back. I also for a switch like to grab 1 heavy dumbell with both hands and raise that.

I use the shrug as the primary exedrcise for traps and then you can follow up with the uprights for the burn. They have never bothered my shoulders/rotator cuffs but i'm special.

U should try some front raises towards the end to get that burn.

I decided to ditch the Lateral raises and the BB rear delt row and changed my shoulder routine to....

Shoulder Press 3 sets - 10/8/6
Arnold DB Press 3 sets - 10/8/6
Shrugs 3 sets - 10/8/6
Upright Rows 3 sets - 10/8/6

That should be good.