Remember how in the movie, Peter learned how to put on a tie by watching a youtube video? Because there was no father-figure like person to show him (looking at you Tony, very disappointed)
Thing is, Peter has probably had to do this a lot. Aunt May is a tremendously cool woman, but she is also very busy with her job and only has a limited skill set. And Peter never really had anyone to ask for a lot of stuff.
So, imagine if you will, the following setting: The Avengers all live together in the tower (because I like ignoring things that made me sad, so Civil War got resolved before things got bad, and Thanos never got the other infinity stones because ‘insert-stupid-reason-here’.)
Peter alternates between living there and living with his aunt on a weekly basis, or something.
Over time, each of the other Avengers catch Peter with his gaze focused on his laptop/tablet/phone/holographic screen, trying to follow the instructions given.
*music playing, holographic screen showing a ballet-practice, Peter in his Spidersuit sans mask, sitting crosslegged and trying to figure out the complex set of motions.*
Natasha: Are you watching ballet?
Peter: Yeah. I used to practice when I was younger. I had really bad balance and coordination as a kid, so my parents signed me up for classes. It helped a lot. But Aunt May and Uncle Ben couldn’t afford it when I went to live with them, so I had to quit. Anyway, I recently saw this performance, and the dancer made this one specific move, and I thought, ‘hey, that would work great when taking down a thug in a narrow alley’. But I only found this really grainy video, and I can’t make out how they move their foot for the last part. It’s okay, I will get it eventually. Do you need to use the gym? I can go.”
*So Natasha ends up teaching Peter Ballet and the two are often practicing together.*
*Sam comes into the kitchen in the middle of the night, having awoken from a nightmare and in search for a glass of water and some advil to go back to sleep. He finds Peter in a mess of dirty, used kitchen utensils and dough and flour everywhere, while the teen is bent over a Starkpad, watching James Oliver do something fancy with puff pastry.*
Sam: Pete? It’s like three in the morning, what the hell are you doing?
Peter: It’s May’s birthday tomorrow, well, today, really. And I wanted to surprise her by making her those spinach and tomato filled pastries that she loves. I thought I could do it. He is making this look so easy. How come he can twist the ends around three times and make it look like a star, while I just look at mine wrong and it falls apart?
*So Sam shows him some tricks and helps him make and decorate the little pastries and after learning about Aunt May’s disasterous culinary skills, Sam starts teaching him how to cook and bake various dishes. They have those lessons regularly at the Tower, to the immense pleasure of everyone living there. And Aunt May, who Peter always brings something home to.*
Those are only two examples off the top of my head. Any more ideas?