My small local bank will take coins in whatever container I happen to have them in, count them, and deposit them. I do have to leave it with them if they're busy and trust them on the amount, but that's not a tremendous problem because I know everyone who works at the bank. They'll also save my containers and give them back when I go in the next time, especially if they're canning jars.
There's something to be said for small. They greet me by name when I walk in, too.