Yay! cloth is wonderful. We cloth (my toddler at night, my 21 month old full time, and my 3 month old full time!) and love it.
You have many options with cloth wipes. Many people cut up old flannel receiving blankets. This works, but I find they are too thin. I use cut up flannel for liners, in case we need to use diaper cream and need to protect the diapers.
You can also use baby washcloths. When I first started, I bought a bunch of them for wipes. Work well.
I admit that I decided to try some wipes made by a WAHM and love them above all. She makes 2 sided wipes, serged together, in your choice of fabrics. I personally love the velour and sherpa. Soft and "grabby" to clean up those bottoms. This is probably a luxury item, but I love them. I got more, in fact, to use for noses (I keep a basket in the bathroom for the "tissue" cloth wipes, and a net laundry bag to "dispose" of them until laundry day - I have tried to cut all unneccesary paper out of our lives). The WAHM I like is named Jessica, and her site is www.hyenacart.com/picassotums I just love her stuff, she ships super quick and is nice. I use the smaller wipes (labeled "family cloth") because those are big enough for me.
For wipe solution, you really are fine just using water (for urine, especially). Some people make their own. Here is a website with lots of recipes: http://www.zany-zebra.com/cloth-wipe-solution.shtml I have made my own and liked it ok. I really like supporting WAHMs in their missions to stay home with their kids, so I buy WAHM when I can. The wipe solutions I like are www.bootycubes.com (little cubes of solution that you dissolve in hot water) and www.buddhabunz.com (very concentrated soy solution, scented with yummy essential oils - a little goes a long way). THe last time I bought any was last summer, and I still have lots. They last a long time. But you can certainly make your own. I prefer to stay away from any chemicals I can, and these are good solutions for that.
As for storage, I'll keep a few days' worth of wipes saturated in an old disposable wipe container. For traveling, I'll either carry dry wipes and a spray bottle (little 3 oz ones are available for 99 cents at Target) of wipe solution, or I'll have already wet ones (squeezed of excess fluid) in a wet bag (PUL lined). I've found that it's not always convenient to just go to a sink (at the zoo, at a store shopping, etc.) so I like having them wet already. I have 3 children under the age of 4, 2 of whom are in diapers, so having them wet works better for me.
As you can see, there are many ways to use cloth wipes. THe cheapest way is flannel blankets you already have with water or making your own solution. I found that once I bought tea tree oil and special things for my solution, though, I was really better off supporting a WAHM who makes them. You may also have lots of little wash cloths that you aren't using. We personally use ALL the washcloths we got for the kids, so that wasn't an option for me. I bought more for that purpose. Some people will tell you the old cut paper towel way, but to me that is very wasteful (paper) even if it is cheap. I really like having the double sided, serged, luxury fabric WAHM made wipes. One wipe cleans up the messies. So you have lots of options, all of which will work. You just have to see what works best for you.
Oh, and props to the day care provider who is willing to cloth diaper your baby boy! You're very lucky in that regard!
Good luck, and don't hesitate to ask questions! message me anytime. I've been cloth diapering full time for well over a year (my second and third have been completely cloth diapered) and i've diapered newborns through toddlers potty-learning! I've used prefolds, fitteds, and wool, pockets, and AIOs. I've bought big brand (Bumgenius, for example) and WAHM made. So i have lots of different experience.