You can't have any pets? not even a parakeet or gerbil?
something small and contained in a cage? verses a dog or cat?

If you can't have anything furry or feathered - a nice fish or 2 in a tank might be a nice idea- plus they say it is calming to watch them.

Is there any clubs or classes available for you to sign up for.
Or even some volunteer things?
where you can get out to meet others that will be interested in things you like to do?