My first contribution: Increasing your Pull-up count
Pull ups is all about that total hang time. Most people that lift should have the strength to do 20 pull ups no problem, however their arms and back lack the endurance to currently do so.
Ways to increase your pull up count:
1. Total time hangs: Pull yourself up to the top of the pull up bar and hold yourself up there for 20 seconds. Once you hit that 20 seconds lower yourself as slow as you can to a dead hang (roughly 5 seconds if you can). Rest 2 minutes (seriously 2 minutes?!) because you are gonna need to be fresh to do 20 more seconds for a total of 4 reps. Do this 2-3 times a week for 3 weeks (2 weeks if you already hitting 15 pull ups no problem).
2. Total amount of pull ups: Doesn't matter how many you do per set, just set a goal. For my lifting days on back I shoot for 60-80 total pull ups, with my first set being 25+. I usually get to 50-60 in 4 sets and just randomly do two pull ups in between other lifts to knock out the rest. The last 10 or so pull ups should be hard enough that you are cheating to get your body up there. That is okay, as long as you are passing up your set goal.
3. The Perfect 5: First, buy a pull up bar for your room (needs to have straight and wide grip attachments). The perfect 5 is your cleanest 5 pull ups that you can possible do and slow as possible. Start from a pure dead hang and try for 5-8 seconds for one pull up, and try to do all 5 pull ups as close as you can to 1 minute. If 5 pull ups is easy, do 10.
4. Just

ing do it: And there is just the fact you need to just do it.
I constantly talk about pull ups because of how simple and non-weight lifting it is. What's the lift? Pull your body some odd 2 feet higher using just your body weight. Majority of people can barely do one and seasoned lifters can barely do 10. I was one of those people seasoned lifters that could barely do 10 pull ups. I was like "WTF? I'm 220+lbs deadlifting 405lbs, why can't I do 20 pull ups?" When I went on my weight loss phase to drop to my natural 170lbs I told myself that I need to do 20 pull ups no problem, because if I can't lift my body up 2 feet with my arms, then what is the point of all the rest of the lifting that I have been doing was my general thought.
So what is the benefits of being able to do 20+ pull ups? Well for one I can do 2-4 one arm pull ups, chicks love that (not really but it is damn impressive). Your back will be chiseled up (yah that muscle up by the traps, you'll have those popping out). You'll create those "wings" that everyone wants from their back, also makes your waist look smaller, even if it is not. It will also reinforce all of your lifts. Stronger back= stronger arms, stronger back= better squat form, stronger back= even stronger back, stronger back= flatter front (really? not sure, but I think if you can get 20 pull ups, then your stomach will be relatively flat. It's j-cart theory, prove me right or wrong).
Also if you have no access to a gym, then all out pull up bar. Just look at those olympic gymnasts, you think those guys got there just by lifting? Granted they are freaks, but if we can be half the freaks (or more) that they are, then imagine what kind of freak you'll be if you can 20 pull ups.