How to connect (a) digital wallets and bank accounts ??

i never set up any sort of digital wallet account before this recent week. (no online credits or direct pays)

so how would i got about asking if my bank or credit union offers that service ??
trying to link a bank account to a digital wallet, so that i can have money in the digital wallet to buy coins.

ibut how do i make that connection between my digital wallets and my bank account ?? do i just show up with my bitcoin address ? tell them "i want to link to this."

+ any tips on which digital wallet is secure and quality ?
i have multicoin and litecoin already.

and i know of bitstamp (optional) and coinbase (optional).

thx