so when I steer right and accelerate my car is very smooth, but when I steer left and accelerate i feel a bit of a pulsing or slight bounce...basically not a smoth pull. Thinking it may be my diff, just got the oil changed but still have the issue.

 

try dong a search on wheel bearings. I read on here somewhere that if you get issues turning in one direction but not the other then it is a bad wheel bearing. I just read it as I was wondering what indicator you get with a bad wheel bearing. I doubt it is your diff, so you should feel better as it's much cheaper doing a bad bearing than the diff.

 

Feel a pulsing where? In the steering wheel? If so, check your tie rod ends. If its not in the steering wheel, can you give some more details?