Don't fear the flat, just be prepared. In addition to the correct tools, I carry a tube, patch kit, some "scabs", and a mini pump. I alot bought Specialized Armadillos, which are supposed to be resistant to punctures, We'll see about that ...
Be careful where your wheels roll, keep them inflated properly, check them occasionally for things that are stuck in them. You'll be fine, and if you get a flat - come back here for a pat on the back and gold star!
When you buy your new tires - you should mount them yourself with your new tire tools so that you will be confident out on the road. Also when you buy the tites buy 2 extra tubes in case you damage one mounting them.