I would do whatever the parents do at home with the two year olds. I really don't think many this age require a morning nap as well. I have two 2 year olds too, as well as a 13 and a 16 mo, and I don't do morning nap at all. If the younger two fall asleep in the stroller when we're out and about (which happens on occasion), then so be it, but I don't put them down per se.

Sometimes my 2yo's seem a bit fussy and tired in the am too, but the trick here is to get them out and busy asap after arrival so that they don't focus on it.