Never a good thing to put a larger fuse in. A 10A fuse means thats what the circuit is rated for. Instead of the fuse popping as it is designed to do the wire could melt causing big issues. a buddy of mine head to rewire a 2000something dodge because they just put a bigger fues in. Buy a relay and wire them that way. I think the site the12volt.com has all the info for wiring relays and such...

Edit: that site has the info, if ya need any more specific info lemme know!