Three things that MIGHT convince you to love jumping spiders, if their surprising cuteness didn't already do the job.
1. They're among the most intelligent of arachnids, due to needing the capacity to scan their environment and very precisely and calculate trajectories to pounce on prey.
2. They're capable of recognizing human faces, which is unusual for ANYTHING with more than four legs. They don't just see us as walking obstacles and one probably isn't going to climb on you without good reason. That is much appreciated. But there is a good reason, see below.
3. Evolving to recognize humans isn't for our convenience. They sometimes like to prey on mosquitoes or other large parasites who see our furless skin as an easy lick. That's a whole ass feast to a jumping spider, which will pick that moment to go full Batman and descend on the thing. Meaning there is a non-zero number of human lives who had been saved indirectly from malaria by the eight-legged fuzzballs.
So yeah, even hardcore arachnophobes ought to make some room in their heart for them. Besides just being cute.