I’m going to give some complete noob advice here, so take it with a grain of salt. I used to do push ups, sit ups, chin ups regularly when I was younger. I started getting back into it recently, starting 4 Jan this year and been keeping to a semi-regular schedule.
So my advice is to not go to failure. If you want results, you’ll want to get the most reps. To get the most reps per session, first find your max and half that, now do sets of whatever that number of reps is with a 3-5 min break in-between sets.
For example, if I do pushups with good form (hands under shoulders, straight back, slow, smooth movements, pausing for a second at the top and bottom) I can do about 20. If I take a 3 minute break, my next set to failure is about 12 and so on.
If I do sets of 10 with a 3 minute break, I can do 6 sets before I start really struggling.
This is what I do, use it don’t use it