+1 on asking your LBS. Try changing a flat at home first, rear and front, once you're comfortable with the idea of doing it. (Just deflate the tube, take it off, and then put it back on.)

I'm planning on typing out a "how to fix this" guide for things that commonly go wrong, in a relatively small but reasonable font size to fold up and keep in my bag.

I have two spare tubes of the appropriate size, tire levers, a CO2 inflator, and a little multi-tool.