For me, Peter is great at one thing and that's being smart -- really smart. That's one of the issues I have with TASM series because we know he's smart but he was either looking up stuff for something (the battery) or being bested by Gwen, which I didn't mind too much (given the inspiration from SSM) but still.
The rest? He's just always trying, which is what I enjoyed about TASM series and SSM.
He's always trying to be a good hero. Always trying to save everyone. Always trying to live a normal life or even strike a balance.
He's not perfect. He's a coward sometimes. He's brave sometimes. There's a reason why everyone refers to him as an every man because that's just who he is. It's not the intelligence we relate to but every day problems that he faces as Peter and as Spider-Man. We'd feel freedom as he does under a mask. We'd feel awkward or angsty just being 'us' if that 'us' had a double life nobody knew.
I'm rambling at this point but the key thing I'm looking for with this new series is balance and what I didn't get from Civil War seems to be fixed for Homecoming. Can't wait.