No credit card required
Browse credit cards from a variety of issuers to see if there's a better card for you.
what kind of bills?
for mortages / car loans, there's charge smart.
for rent, there's williampaid (might have spelt it wrong).
there're fees though usually and your bank might regard it as a cash advance depending on the T&C.
usually you have an option to set up your acct, so that hey can charge payment off your cc. am i right?