Basically, the only thing your children need is either the private key or the seed, or preferably both. So, you only need to generate them, assure that they're working properly (which you can do safely on a offline computer), and that should avoid most of the common pit falls. Don't use a online service, since the attack vector increases, you can't guarantee that they haven't seen the private key themselves, and you also can't guarantee that the online service will still exist when your children grow of age to claim the wallet.
I do advice OP to save assets in hardware wallet too rather than setting up wallet's on Dex, I assume after reading his thread that he was going to start saving in it for a long term. I love the idea of saving up a a crypto asset for our children especially if it is bitcoin and ethereum because for sure it still has a value in the future and I believe that the children will love it because I'm pretty confident at that time the adoption of crypto in their generation are widely use. Just make sure also, that you have taken down notes all the seed phrase and keep it because it is the only way for the children to access the wallet.