PADI explicitly lists OWD as a prerequisite for the Dry Suit class: Dry Suit Diver | PADI:
"If you’re at least 10 years old and certified as a PADI (Junior) Open Water Diver or higher, you can enroll in the Dry Suit Diver course."
Not sure about other agencies.
EDIT: you can easily do 15C in a wetsuit.
There is more to the world of diving than PADI....how about asking the OP what agency they plan on training with before stating standards that are not universal throughout the industry.
To the OP, whether or not you go with PADI or any other agency/organizatiom, or if you and your kids are already certified, for the weather here in western Europe (I live in Belgium), I would definitely recommend going with a drysuit if you can. Unless you have polar bear blood, I find that the season that I can comfortably dive in a wetsuit is very short, and there are only a few weeks in the summer that I find the air temp to be hot enough to make it uncomfortable to don my drysuit. You and your kids will find it more comfortable and be able to extend your diving season by learning how to dive a drysuit...and the age of your kids is not an issue. I was working in the pool the other night with an 11 year old who was testing a new drysuit...his old one needs new seals so he was using a loaner while his was in for repair....his dad is the president of the club as well as a PADI instructor.
-Z