Yeah, there's not much difference in the manga and anime. Just start from where the anime left off. If you stick with the anime, you're going to have to endure a horrid, horrid, filler arc. They cut things off in the middle of the Hueco Mundo Arc. Ichigo doesn't rescue jack squat.
The Chapter where the Anime cut off:
Bleach 286 page 01 | One Manga