This feels like a vague goal. I'd like to give you two different scenarios now, one marginally stolen from Dan John:
Jim-Bob thinks he should do more pull-ups to improve at them because the internetz told him this was important.
Billy believes that he sucks at pull-ups because he can't do 20 with perfect form. Why 20? Because when he was at school, that was how many he needed to max out the pull-up test. Why perfect? Why not? Billy decides to remedy this by his next birthday so he asks for some advice on how to increase his max number of pull-ups from 10 to 20 and is pointed towards a HFT pull-up program. He decides to dedicate himself to this for a month and then to step back and reassess. He lets people important to him know his goals so he has more to lose if he fails and regularly updates them on his progress.
Which of these two will have the higher pull-up numbers after 2 months?