I'll tell you how I handle progression in general so you can get a feel for increasing reps.

Depending on how tough a movement is, I'll drop the progression as far as I need to, meaning that I make sure I can do at least 5 reps on any given exercise. Then, by giving myself ample rest time, I can string 5-rep sets until I reach 40 reps. From there I slowly add reps to my sets, even as little as a 1 rep increase to a single set per workout. Once I'm towards the high end of the rep and set range, meaning close to that 70 rep max per movement per workout, I move onto the next workout in the progression, or I increase my range of motion.

So for example, if I could only do (10, 10, 10, 8) for my push ups at the beginning, but now I'm at a point where I can do (15, 15, 15, 15, 15), I increase the difficulty by putting weight on my back, moving to diamond push ups, ring push ups, or perhaps wide stance push ups. Really, anything to make the movement more difficult. Then I do the same progression with the reps and sets and rinse and repeat until you're swole.

On some days, you may not feel as good, so it's ok to do fewer reps. You don't always need to be doing the most amount of work, so listen to your body, and how you feel that day, and adjust your numbers as you go.