The P7 you are looking at is a P7, not a PSP (although they are commonly and mistakenly referred to as such). If it were a true PSP it would say so on the slide; and it would cost 3 times as much. The differences are small between a P7 and a P7 PSP but there are differences. See
this site. The PSP would have the heel release that sticks out slightly whereas the P7 the heel release is more flush and less prone to accidental release. The grips are slightly different also, extending lower from the bottom edge of the frame on the P7.
As to getting the P7 or the Tac, a Tac is not a CCW and doing so could land you in a world of trouble if you ever had to use it. Talk to any lawyer about it and they will mostly tell you that the threaded barrel makes the weapon "look" to be an attack weapon instead of a defensive weapon. Why were you carrying a gun made specifically to take a suppressor, where you out "hunting?" The Tac is a prosecutor's wet dream. For carry ditch the threaded barrel and go with either an USP, USPC, or the P7.
The P7 is accurate and they are very low in recoil, but they are heavy and do not have much capacity, and the M13 feels pregnant. As much as I love HKs, I like the P7 series only for their uniqueness. Other than that I couldn't care less if I ever hold one again let alone shoot one.