@moskva I really like the Mountain Tactical Institute programming to increase pullups. I don’t have it on me at the moment, but I can give you some examples to start.
So first thing you do is get a reliable max effort. We’ll say it’s 10 pullups. Then you do something like the following twice a week:
Week 1: 5 sets of 35% of your max effort, with 1 min rest between sets
Week 2: 6 sets of 35% of your max effort, with 1 min rest between sets
Week 3: 7 sets of 35% of your max effort, with 1 min rest between sets
Week 4: 8 sets of 35% of your max effort, with 1 min rest between sets
Week 5: 9 sets of 35% of your max effort, with 1 min rest between sets
Week 6: 10 sets of 35% of your max effort, with 1 min rest between sets
Another program has you do that for Day 1, and then day two is half as many pullups for twice as many sets
Ex.
Week 1 Day 2: 10 sets 15% of your max effort, with 30 sec rest
Week 2 Day 2: 12 sets of 15% of your max effort, with 30 sec rest
Etc.
That progression has worked absolute wonders for me. Helps grease you into higher volumes and stacking your reps up. Don’t be discouraged if your sets start to get broken as they stack on you - that’s ok. The whole idea is to sort of slide you into doing more reps within a compressed timeframe. It eventually just adds them onto a single set.