Christi we have the exact same problem in our household, Jo is extremely sensitive to dyes and perfumes (esp perfumes) and so we have to use special laundry detergent. We started out with one called Equator but have since switched to Bi-o-kleen. It works extremely well in our front-loader, starts out smelling citrusy because of the orange oils and grapefruit seed extract in it, but leaves absolutely no scent whatsoever. No kidding! Jo would have given me an earful if it had! It is widely recommended on cloth diapering sites because it is gentle and has no borates which supposedly eat up the fabric. It also does an extremely good job, the only thing that didn't come out using it was peach juice (on my white preggo t-shirt, figures, doesn't it, I've ruined so many white t-shirts eating peaches!) but I also forgot to pre-treat it.
After buying a starter kit from earthbaby.com (they have a trial pack of detergent, oxygen bleach and enzyme treatment - I also highly recommend the enzyme treatment bac-out, it does a bang-up job on stains), we took a big (expensive!) plunge and bought a 50-lb box of premium powder and a 5-gal pail of bac-out from juliestuff.com - through her you can get it drop-shipped directly from bi-o-kleen and pay no shipping charges! - and now we figure we are set for a little while at least - the 50-lb box will do over 1000 loads, since we use it one tablespoon at a time!! The cost looked ridiculous at first but when we calculated the cost for detergent per load if we bought 50 lbs at a time, it made complete sense because it was down to something like 9 cents a load. The 5 lb box was 14 cents per load. Ended up being a savings of around $50 plus shipping costs per 5-lb box.
Anyway, enough math, I can strongly recommend Bi-o-kleen products to you! And the kit on the earthbaby site can give you a good start with it and you can see if you like it, but I bet you will.
ps: if I had a sewing machine, I would buy flannel, cut it into squares, hem the edges, sew it onto a washcloth on 3 sides and then turn it inside out to have a little diaper wipe mitt. I've heard that the nubby side is good for cleaning off and the flannel side good for a last swipe. Alas, I have ABSOLUTELY NO DESIRE to sew wipes by hand.