GP5000's are summer tyres, so great for doing something like London to Brighton; I used them for Paris-Brest-Paris and London-Edinburgh-London as they're my go-to tyre. They'll fit fine on your Trek.
They're not commuting tyres however as they have less puncture protection unless the roads aren't as bad as they are in Yorkshire; something like Schwalbe Durano / Vittoria Rubino are better for commuting.
Ohh I thought they had good puncture resistance?
