This one is harder than convincing one man.  You have to convince not only the head of the Daycare Facility, but also any workers or volunteers that would be handling your child.  For women or men who handle screaming, crying, fighting, or simply overly rambunctious toddlers and infants every day, they may not be overjoyed to add “spraying or scraping off poop from diapers” to the list of things they have to do.   Be sensitive to their nerves and their time.  If you don’t value your day-care provider, you shouldn’t be leaving your child with them.  Yes, you’re paying them, but they’re not your slave, just keep that in mind when asking them for anything extra.

Step 1  Offer a Tutorial
Most women are reluctant to consider cloth diapering because they are stuck in the mindset that they’ll have to fold and pin.  This isn’t necessarily the case now (unless you’ve decided on flats or prefolds).   If you educate your Daycare workers on how easy cloth diapering is now, they may be more willing to do it.
Also, you can  print out all the articles on “why I chose to cloth diaper” and bring that to them.  Cloth diapering really IS better for the child, the environment, and for most people’s noses.

Step 2 Explain Environmental benefits
Ask them how many diapers they use in a day.  Now do a little math and show them how many diapers they’re putting into the landfill every year.  Again, don’t be condescending about this, these are very hard-working ladies (or men).  But most people do care about the environment, and using 76,000 diapers a year that have almost no hope of degrading in a landfill is a daunting prospect.

Step 3  Make sure you provide anything they need to do this properly
Offer to donate a diaper sprayer (you can get one for about $25 most of the time).  Offer to install it if they need and teach them how to use it.
Leave them with a wet-bag every day if you’re using your own diapers or get them in contact with your diaper service, that way they could provide the cloth-diapering service to any other mothers who may want to consider cloth diapering.

Step 4   Thank them for hearing you out and Leave them to decide
They will need to discuss all of the new information you’ve given them.  Be diplomatic, don’t ask for an answer right away.  You may have brought some things to the table that they need to consider.  If you’re too terribly convincing, they may want to start a program to educate other mothers on Cloth Diapering benefits and offer that as a service in their Facility.
Keep up with them though, don’t let three days go by without calling to ask about their decision.

Step 5 Look Elsewhere
If, for some reason, they decide that they can’t do it, simply take your business elsewhere.  I know in some small towns, it can be difficult to find a daycare facility that’s worth anything, but if a daycare facility is too stubborn to open their services to something new, there is a problem with it.  The loss of a good customer in a small town is a big blow to any small daycare facility.  They may be willing to cooperate later or you may be able to find a different care-provider after all.