I think most of the big name wipes have some chemicles, saw a program on it once... Having said that ds has very sensitive skin and the only ones that suit him are pampers sensitive, you can always get them on offer somewhere so never end up paying full price iyswim.
I generally still just use cotton wool or washable wipes (like mini flannels) and water. To take them out and about, I put a couple into a little plastic ziplock bag. (Actually, I reuse rinsed-out breastmilk freezer storage bags for this, they're tough plastic and a handy size, and I hate to throw them away !) But we do use wipes sometimes - I got some Waitrose plain ones on offer which seem good, at least they don't have any parabens in them.
Fleece makes brilliant wipes. One of the £1.99 Ikea blankets cut up makes loads and they come out of the washing machine virtually dry. Or any real nappy site will sell fleece or terry reusable wipes (I think it's unlikely you'd have enough old flannels around to use those exclusively)