Lemma is 100% correct IMHO in this post:
http://www.flyertalk.com/forum/22726484-post14.html

There's no need for such contortions to deposit money orders. There are plenty of local banks where you can open fee-free or near-fee-free accounts. Pick two, open accounts, and deposit all your money orders in one of them. If that account gets closed, start using the other and open an account at a third bank. There's virtually no risk and no need for agonizing over this.

Don't chance screwing up a relationship with a major bank like Chase or Citi or BofA. Pick credit unions, local banks--banks that offer you nothing special in the way of features or credit so you have nothing to lose if the account gets closed and the relationship ends. Who knows--you could go on for years with nothing happening.