Congratulations on the new stuff, that is great.

I also (as others mentioned) suggest getting a floor pump with built in guage. I have one, and it makes it so much easier to know my tire pressures and do quick checks/pumps the night before commute days. That PDW setup is a nice emergency pump, but you likely won't want to use it everyday.

Your tires will say what pressure they should be at right on the sidewall. I pump mine right up to max (for my particular tires, the range is 75-100 psi, so I pump 'em up to 100). Depending on temperatures, etc., they slowly lose a couple/few psi per day or so (it varies). It is probably a good idea to check them every time before rides until you get a good feel for how slowly they tend to lose pressure (then you can check less often if you want).

The hand pump will be a nice backup to have. Toss it in a "kit" with a spare tube that fits your tire size and a couple of tire levers (and possibly a 15 mm wrench for rear axle nuts and anything else needed to get tires on/off), and you have a decent flat kit to start with.

Have fun and ride safe!