Hmmm... what is the reason they won't "rinse"? And what exactly will they do? I guess I mean with breastfed babies, no you do not need to rinse. But once they are on solids and have more solid BMs, will they remove the solid waste from the diaper, or just roll it up in the diaper and put it in the bag? I have in a pinch simply used a wipe to 'pick up' the solid poop and I put it in the disposable diaper trash can (I have 2 small white trash cans with lids, one for trash/sposies and the other for cloth).
For liners, I have a ton of felt like liners. They are not disposable, but I am happier to have them stain than my diapers... only because I will probably sell my diapers when my kids are done with them, and the liners will probably go for free or to the trash. And even now if I get a REALLY bad diaper, I might just throw out the cheapie liner.
I am a home daycare provider and personally, I find the disposable diapers to be a hassle and smelly. On the weekends when I don't have the sposie diaper can full of diapers, my laundry room smells WORLDS better. I am so glad to hear there are other daycares willing to allow cloth diapers!
As for the comments on cost... I recently got a taste of the cost of disposable diapers. When we moved to our new home we left our washer/dryer as negtiable on our old house, so we had no laundry equipment for 6 weeks. My son was in disposables that whole time, and Oh. My. Gosh for the expense! There was little to no change in our gas/water bills when we started using cloth, but to add the $20 a week to my grocery trip bill... ouch! I also use the cheapest version of cloth (and use fairly cheap sposies when I use them, AND use coupons, but it is still a huge difference) as we use prefolds and covers.
And before we used cloth diapers, my son had leaks all the time. Currently the only time he has a leak is at night, when we use disposables more often. This is the case with most every cloth diapering mom I have met.
And I 2nd the bleach comment... Do NOT use bleach on your diapers! I also use All Free & Clear (not expensive). I do a quick presoak, in the washer, with hot water and a bit of baking soda (again, cheap), wash in hot with the All and occasionally a bit of tea tree oil (natural antiseptic). Then occasionally I will add a bit of vinegar (cheap... noticing the trend?) at the rinse cycle, but I really don't do this very often at all. With only these simple items my diapers are all nice and white, with the occasional sunning... in the winter put them on a rack or back of a chair in a bright spot in your house and it works just as well.