Prime,Get yourself some dipping bars and a chin bar. The dipping bars cost $88 from ultimate body press and the chin bar about $54.
http://www.ultimatebodypress.com/At home you could then do something like this.
1. Lunge jumps 1 x 10 (one leg in front of the other and explode for height)
2. body weight squats 1 x max. (If you can get over 100 doing a smooth control movement hold on to something for balance and do one leg squats.)
3. pull ups1 x max
4.push ups 1 x max (alternate regular and feet elevated that gets more shoulder)
5. lat body weight rows ( use that dipping thing and face the ceiling. Put the back of feet on a chair so you are more parallel in relation to the floor.)
6. I would say a hand stand press up against a wall but they are brutally hard especially rubbing against a wall. Maybe a pair of fixed dumbbells and rep out with shoulder presses even if you just got a pair of 25lbs. Just go all the way down repping out.
7. reverse grip pull ups for bicep 1 x max
8. sit ups on the floor (these kick ass) 1 x max
9. single leg calf raises on a step. 1 x max
Repeat the sequence if you can. Truth be told once is enough. Feel free to add and subtract exercises. Like burpees for lunge jumps. Just explode up instead of standing up when you do the burpee. Maybe throw in conditioner exercises like mountain climbers. The above hits everything. Strength, power and conditioning. Maybe end with some gentle stretches. When we get older we don't even realize how stiff we gotten.
Doing stuff like this keeps you lean, hard and in shape. Real fighting shape. Anyway those are my thoughts on training at home with nearly no equipment. TRX is another route to go too.