Glad to hear you've started commuting.
My biggest piece of advice regarding flats is ALWAYS find the cause of the flat. There is nothing worse than having the same piece of glass or misaligned rim tape cause multiple flats. I also second the idea of carrying a pump and a spare tube. I do all my patching at home and carry a spare tube for on the road fixes.
Stick with it, it gets better every time you swing your leg over your bike.