RE: Can I pick your expertise?
I've never heard of having to adjust pulleys, etc. on a compound x-bow once it's all set up, so I wouldn't worry about that. It is true that you normally can't change the string on a compound by yourself- but most bow shops will do it for a couple of bucks.
With the shoulder injury, a main concern is the ability to cock the bow. So I would recommend either using a string cocker or a mechanical cocker- depending on what you are able to do. You might want to go to a store and see if they'll let you try using a string cocker- see if that is okay for you.
As for draw weight, anything 150lbs and over is fine for what you want it for. I would try and find a shop that has a selection of several different types of x-bows and go check them out to see which one you like the best. Horton, TenPoint & Excalibur all make really good x-bows. I like the way Barnett's shoot, but I've had some maintenance issues with mine, so I'm not sure if I'd recommend it to someone else.