Barbell! I'm sure you can handle doing weighted push-ups for now. I am since my break from going to the gym. I've got a barbell, dip bar, pull-up bar, swiss ball, DBs (that aren't really heavy enough for any "serious" compound lifting), and some other small stuff like a swiss ball, punching bag etc.
After buying a barbell with some plates I'd try and score a pull-up/dip bar. Then work it out from there. Sometimes people give shit away so be on the lookout and don't forget you could very possible make your own pull-up bar!
Barbell MOVES that don't require a rack:
Clean and Jerk
-Those are probably all the most effective compound moves you can do and all with a barbell (w/out a power rack).
Look up some hybrid moves Alwyn Cosgrove suggests you can do for a total body workout with a barbell and moderate weight.