What I would do (and have done) is make the pizzas at home and then take them over there; but first, I would go to a local pizzeria and ask (offer to buy) some pizza boxes off them (my local Pizza Hut was nice enough to give me three boxes for free when I asked).† Then make the boxes, and line the top and bottom with aluminum foil.
Next step--if possible, make sure you have a bunch of aluminum pizza pans you can take as well.
Then just make your pizzas at home (try to time it so that you can head directly over and serve them to people, or as close to that as possible) and transport them in the boxes.† They won't cool off all that much...the ones that do, you can reheat at your neighbour's place.† They'll still taste fine (remember, in most NY pizzerias, the pizzas sit around after coming out of the oven, and they reheat the slices before serving them...it can take an hour or more to get rid of all the slices, and it still tastes fine).
One caution--when transporting, make sure to take extra care to keep them perfectly horizontal--car back seats generally are not perfectly horizontal, although they look like they might be.† I found that out the hard way...did what you're doing one time, and opened the pizzas when I arrived at my destination, and the cheese, being freshly melted, had slopped all over the place.
Also, it's up to you whether to cut them into slices before or afterward.† If you decide to do it afterward, make sure your neighbour has a pizza cutter, or you'll have to bring your own.
I keep editing this post because more and more things keep occurring to me
I just realized--if it's cold (winter) where you are, you might want to think about starting your car and getting it nice and toasty before you bring your pre-made pies into it for transport. A cold car won't do your pizzas any favours, even for only a five minute ride.
Finally--if you're really concerned about your "pizza reputation," you could also make a group disclaimer at the party saying that for really fresh pizza, they're invited to come to your house sometime and you'll make them a fresh batch right out of the oven