Huker

If you're looking to shed some fat, cardio is your best bet. You'll probably want something low-impact so you don't worsen your back. Jogging might work, but that can hurt some people's backs. Walking is always a good idea.
You might find it worthwhile to go see a physiotherapist or a kinesiologist for an appointment. They usually know a number of exercises that would help. Also, they may be able to recommend some at-home treatments to speed your recovery.