Do you think you got the three flats because the tread is so worn that you have very little rubber left on the tire? Or is it more of bad thing come in threes. It happens!!
Years and years ago, I used a panaracer 700x18C. It was a real pain getting it on the wheel and off the wheel. The contact patch was so much narrower than the 700x25C, I would have to pump up the tire to near its max. otherwise, it was more likely to get snake bites. While on x25C, I could get away even when the tire pressure had dropped to 80PSI, that wasn't true for the x18C. I would have flatted with snake bites. Didn't care for the narrow tire.
Now to confuse, not all x25c are the same diameter I noticed.
Can't really say about the handling. I didn't try the same model of tire at different sizes.