Another bicycle industry veteran wanting to reiterate the importance of checking pressure and topping it off frequently.
I'd also like to address a couple common misconceptions about the spectrum of tires available, just in case anyone following along is curious. Apologies in advance if this is way too basic.
Tire width-at one end of the spectrum, we have skinny, fast, high-pressure tires. A 700x23c or 700x25c is roughly 23mm or 25mm wide respectively, and offers the most speed and efficiency, with a bit of a tradeoff in comfort and ride quality. These tires are designed to run at high pressure, and running them too low massively increases the risk of flats and wheel damage. At the other end of the spectrum, we have wide, comfy, lower-pressure tires. A tire 35mm-45mm wide (called 700x35c, 700x38c, 700x45c, etc) These wider tires trade some speed and efficiency for greater comfort and better ability to absorb bumps. These wider tires are designed to run at medium pressures. They have more surface area for the air inside to push against, so the tire casing becomes a much bigger lever on the rim. Running these tires at too high a pressure increases the risk of damaging the rim and/or tire, or blowing the bead off.
Tire tread-At one end of the spectrum, we have a slick or very lightly siped tire. These smooth treads are optimized for hard-packed surfaces, wet or dry, and are best for ride and traction if you spend all of your time on paved surfaces.
In the middle is a heavily-siped/lightly-treaded tire which is best for traction on a mix of pavement and packed gravel, chip seal, dry packed dirt, etc.
At the far end of the spectrum, we have a knobby tire. These tires are optimized for loose, soft surfaces. There are some tread variations for sand vs. sloppy mud, etc. These tires are best for traction if you spend most of your riding time on unimproved surfaces.
In general, knobbies are terrible for traction on wet asphalt, even rough wet asphalt. A bicycle tire, even a wide slick one, is waaay too narrow and heavily loaded to hydroplane. Before getting an overview, people in the bike shop often ask for an aggressively-treaded tire "in case it rains," or "because the pavement near me is bumpy" and are terrified that the appropriate road tire, "will just slide out because it doesn't have any knobs to grip the road." The rubber compound grips the road, and knobs tend to fold over and squirm, which is not good for rider confidence when cornering.
Tire pressure-At one end of the spectrum, we have high pressure, which tends to be faster with a bumpier ride. At the other end is lower pressure, which tends to be slower, but more comfy, and better at following a really bumpy surface. Although it might be tempting to think you can get the best of all worlds by varying pressure to offset some of the width tradeoff, you don't want to go outside the manufacturers specs on the sidewall. Think of it as a personal preference adjustment, not a cheap way to totally transform the wrong tire choice.
In summary, start by picking the width that matches with your comfort/speed tradeoff, bearing in mind the type of roads you hope to ride on. Then pick a tread for optimal grip for the type of surface you plan to ride on. Keep your tires inflated, and adjust between the minimum and maximum stated on the sidewall to make small adjustments to fine tune your personal preference.