You can go from LLC Name (Foo, LLC) to Registered Agent Name in 30 seconds. You cannot do the same with Company Name to Bank Account (or from Bank Account to Owner Name).
I also use a registered agent for all my LLCs, but you don't have to. You can totally put your own address down when doing paperwork, and then your home address is open to the world.
For the record, I am a practicing attorney licensed in NY State.