I'm not a doctor or anything, but I do know some things about weight loss because that's what I have been studying for a while. There's no super-secret diet out there, as doctors and health teachers will tell you, fad diets rarely work and when they do, it's not likely to last long. Really, it is just the simple "diet and exercise." Just limit the junk food, eat well balanced meals, and exercise. Up the cardio, weight lifting is good if you're into it, if not, there's always bodyweight exercises, but the most important thing in the weight loss is the cardio. I apologise, but I can't quite remember what agoraphobia is, isn't it opposite of claustrophobia? If that's the case, you can always do cardio exercises like jumping jacks, burpees (which you can find if you do a youtube search if you don't know what it is. Trust me, those things are definately a workout) jog in place, etc. Those are all things you can do even in your house. Remember, it usually takes about the same amount of time to get the weight off as it did to put it on, sometimes longer or shorter, just be patient and don't give up.

So: 1. Balanced diet, no fad diets 2. Exercise, with a lot of cardio

And another thing is, when it comes to workout routines, make goals but don't be unreasonable. Make sure the routine is right for you, or you'll probably just end up giving up. That has happend to me a few times until I had a friend (one who knows what he's doing) write me a routine specifically for what I want, specifically for me; keeping my abilities in mind, therefore it's challenging but not unreasonable.

-Hope this helps