I use old baby washcloths wet with warm water (once again we have the sensitive skin problem).  For disposables, I use Kirkland sensitive (costco brand).

To me, washable wipes make sense when using washable dipes, and vice versa w sposies.

If you don't sew, imo the best wipes are either the thinnest baby washcloths, or cut up pieces of soft old t shirts.  These work actually quite well.

I prefer to make a solution w warm water, lavender oil, and a TINY bit of baby soap.  I have used plain water plenty of times, tho....it works fine!

  You can use a wipes warmer w cloth wipes, too, btw.  This is what I like to do....just soak the wipes in the solution, wring out, and put damp into the warmer.

We use cloth wipes almost all the time.  I just wet them in the sink.  That's it. 

When we go out for the afternoon, I just take a pile of wipes, wet them, and put them in a jar or container. 

My husband is a firm believer in cloth diaper can have the cloth wipe but the disposable (the few we use) should get a disposable wipe method.

We use Nature Babycare wipes.  Amazon has great deals on them through the Subscribe and Save program.  You have to buy them in a box of 10 though.