Originally Posted by Brand NOOBian
So to sum everything up and put it more simply, I'm limited to bodyweight exercises, a medicine ball, and light DBs but would like a way to work out my chest to increase strength, and increased speed/explosiveness would be nice too. Any suggestions?
Start looking at one arm variations. Start adding weight (a back back loaded up with your DBs or bottles of water or whatever). You said you had a pull up bar. Invest in or build a set of gymnastic rings to hang from the pull up bar and start looking at variations using them, including weighted dips.
You've got a med ball. Go to the park and slam it/throw it around. This will increase your explosiveness. For loads of ideas and knowledge regarding working out with limited equipment and/or space I highly recommend Ross Enamaits Never Gymless. It's cheap and packs in heaps of great stuff.