I have actually thought about this a lot and I have come up with nothing better than wallet that actually helps people understand what it’s used for. There are some that seem to work in some other way, but then still suck in others. But if I wanted to make someone understand that “this is where you go to see your balances and control your bitcoin,” I would still have trouble finding something better than “wallet,” even though there remain a lot of problems with that terminology.
Discussion
That is a pretty good and simple definition, better than I could do.
I go back and forth with thinking "account" or just "keys" might be a better term.
But ultimately Bitcoin just so different than conventional stuff we need to just use new words I think