Get somebody your cat knows and trusts to take care of him/her while you're gone. Or take your cat with you. But do NOT put your cat in a kennel or that sort of thing.
Well if you don't trust any pet hotels, then get a friend that knows how to take care of a cat that can come over to your house every day. First before you leave make sure the cat likes the person...
If you can.. you can either ask someone to keep an eye on your cat, or you can buy this decent sized jug that holds the cat food that lasts about 1-2 or more weeks depending on the cats diet. You can...