Once you get a reliable system, punctures are quite rare.
For a commuter road bike, get the widest tyres that will fit into your frame/brakes. This will reduce the risk of pinch punctures and provide more cushioning if you hit a bump. A generous 25mm or a slim 28mm should work. Kevlar banded tyres tend to be quite robust and unforgiving and work better in wider sizes. Specialized Aramdillo and Schwalbe Marathon are regarded as two of the toughest brands.

Check the rim to make sure that spoke heads are not protruding into the inner tube. Some careless wheelbuilders use spokes that are too long. Check the valve hole and smoothe any sharp edges with emery cloth. Use reliable cloth rim tape, Velox is widely regarded as effective in reduicing punctures.