I had this exact injury a few years ago--I was doing dumbbell flyes, and the physical therapist told me that I have hyper mobile joints and that I injured my shoulder because I can go back farther than most people.
I injured it at the end of September, was not properly diagnosed until November, and I did Physical Therapy in December - February, perhaps even early March, I can't remember exactly. Basically, it was 6 months of no pressing movements.
Now, I avoid heavy barbell bench pressing. For the first year or so, I could still feel it in my shoulder while close grip benching, but now I usually don't feel it--only when I really push myself.
However, if you do weighted dips, you probably want to avoid those from now on since they will cause your shoulder to hurt--they are a great exercise, but they put your shoulder in an awkward position.
Once you get back into lifting, I would switch to dumbbells--if your goal is bodybuilding, they are better theoretically, anyway.
But don't worry, man, this is NOT a career-ending injury at all. It's actually quite common.