We started out using the OXO Tot On-the-Go Travel Wipes Dispenser for diapering when out and about. It worked great at first. However, as our baby grew and we were no longer using the wipes on a weekly if not daily basis, we noticed they were often drying out between uses. This is a mostly solvable problem, of course, since usually one is changing diapers in a bathroom and thus can re-wet them slightly in the sink.
However, we recently came upon an even better solution. When our second child was born, we took home the package of wipes the hospital had been using. We then realized that they didn't dry out, despite living in our diaper bag for about two months before running out. Thus the executive decision was made to switch to the Medline Aloetouch Personal Cleansing Wipes permanently for use when not at home. Generally I wouldn't recommend a disposable solution when a reasonable reusable one exists, but with 80 large wipes per bag (you would rarely need more than 2 for a diaper change) I doubt we'll be using more than 3 packages a year. This way, there is also peace of mind that a wet wipe will be available, even if I haven't checked the bag in a long long time.
Also, we haven't started potty training yet (heaven help us) but I expect having permanently wet, large wipes with us at all times will be helpful in that endeavor.