Any Opinions On What Banks Are Best To Get Boxes From?

I suggest you call or go in person to both banks and simply ask. Make sure not to dump at the same bank you buy from.
John1

Perhaps even more important than picking among various banks. When I was doing this sort of thing, I bought from a small credit union and dumped at a large bank in a different town.

Honestly, these are variables which are hard to define as they seem to vary a lot from bank to bank and city to city. Trial and error is a good approach. My best recommendation is to get coins from as many different banks/branches as possible... get BOTH bank wrapped and customer wrapped rolls. Collection dumps happen much more often than they should today - you increase your odds of finding one of these by visiting more branches and getting different kinds of rolls.

To address your specific question on the banks, a lot depends on the vendors who service your local banks because you're going to be dealing with somewhat different pools of coins if there are multiple vendors servicing your area. Where I live, Brinks and Garda seem to be the two main ones. I also, occasionally, see a Loomis truck (and rolled coins with their name on the wrappers). I know Brinks gets their coins typically from the main "Fed" office in their particular area. For me, that would be Los Angeles. Garda also has an office in L.A... Typically, the Brinks coins have a generic wrapper for their coins, while Garda's are typically String & Sons. The only difference I've noticed is that the Garda boxes are somewhat more "Philadelphia coin heavy" than their Brinks counterparts.