Ziploc bags are your friend!
Seriously, I almost never buy travel size containers of anything because so often you pay as much (or sometimes MORE) for the tiny packaging. In the case of these Lysol Wipes, I'd just buy the big thing of them and take a handful of them in a ziploc bag. The bag will keep them plenty moist enough, just make sure it is closed all the way and that the air is squeezed out of it.
I always carry baby wipes in my purse this way and have never had any problems.