Get tires equipped with a Kevlar layer or comparable material. It makes a day and night difference in terms of frequency of flats. Yes, you will still need to reserve time for a flat, but the likelihood of a flat might drop to next to zero.

I once traveled to a few-months assignment taking along a new folder equipped with stock tires. I had to ride over a street covered with various road debris and suffered from a flat every second day. After a third flat or so, I put an order for decent tires, but obviously had to wait for these to arrive so my flat count still accumulated. After I swapped the tires, I had no flats for the rest of my stay. At my regular location, I have a flat may once every 2-3 years and it is usually an operator error, worn tire that was not replaced in time or inattention in mounting the tire.