Hmm well basically what you want to do is a "basic" bodyweight exercising program. I've never done the WOD cause I'd generally much rather design my workouts myself but it's a good thing to start with when you have little knowledge in this area. The kind of workout you will want to do is going to be designed about increasing your endurance so you can finally rep out these 20 pull-ups and 90 push-ups. I've got such a work out lying around on my computer, that I designed long ago for use this summer when I'll be out of town and won't have access to weights. I suppose you could tweak it a bit but the essential is there...
... okay I found it. Actually it's an 8 week program built for my specific needs, so you'll probably need to tweak it a bit. Forget the canoe portages and stuff like that, it's cause I'm going to be the head of tripping at the camp I'll work at

The essential whipping into shape part of the program was also mainly because I'm used to lifting weights and do little bodyweight exercises. You can use this phase and variations of it for a bit longer than two weeks since getting into shape seems to be what you want at the moment.
Anyways.. Hope that helps you.
PART 1Getting in shape
To be done on Mon/Tue/Thu/Fri/, for weeks 1-2 Day 1Pull-ups 3x8
Push-ups 3x25
Hanging leg raises 3x12
Lunges 3x25
Calf raises 3x25
Squats 3x55
Handstand push-ups 3x5
Cardio: 20 min jog
Day 2Chin-ups 3x8
Diamond push-ups 3x18
V-ups 3x18
Pistols 3x15
Hindu squats 3x20
Calf raises 3x25
Cardio: 20 min jog
PART 2aHigh volume
To be done on Mon/Tue/Thu/Fri, for weeks 3-4 Day 1Pull-ups 3x12
Push-ups 3x30; 2x per day
Hanging leg raises 3x15
Lunges 3x60
Calf raises 3x80
Squats 3x80
Handstand push-ups 3x8
Cardio: 25 min jog
Day 2Chin-ups 3x12
Diamond push ups 3x25; 2x per day
V-ups 3x25
Pistols 3x22
Hindu squats 3x30
Calf raises 3x80
Cardio: 5 min canoe portage
PART 2bVery high volume
To be done on Mon/Tue/Thu/Fri, for weeks 5-6Day 1Pull-ups 3x16
Push-ups 3x45; 2x per day
Hanging leg raises 3x25
Lunges 3x80
Calf raises 3x100
Squats 3x110
Handsand push-ups 3x10
Cardio: no cardio
Day 2Chin-ups 3x16
Diamond push-ups 3x35; 2x per day
V-ups 3x35
Pistols 3x30
Hindu squats 3x45
Calf raises 3x100
Cardio: 4x (skipping 5 min + 200 meter sprint)
PART 3High intensity
To be done on Mon/Tue/Thu/Fri, for weeks 7-8Day 1Off-set pull ups 5x5
One armed push-ups 5x5
Leap ups 3x30
Step-ups 3x30 (per leg)
Handstand push-ups 5x5 (explosive)
Dragon flags 5x5
Cardio: 10x tabata sprints
Day 2Come-downs 5x5
Sandbag/resistance band push-ups 5x5
Dragon Flags 5x5
Leap ups 3x30
Step-ups 3x30 (per leg)
Cardio: 10 min canoe portage
peace.