@Diana ******
as long as you have the PDF print out of it you can exit/re-enter and get 180 day entry stamp from it
The only thing is if you want to get DTV's for your children you and the children have to go to a nearby country's thai consulate and apply online thru the eVisa system while you're in that country and you have to remain in that country until the visas are approved or denied.
Because they're just dependent DTV's <- meaning they are using your DTV and your proof of funds to get the other visas they should be approve fairly quickly IF you upload the correct documentation, etc, when you apply in what ever country you go to for them.
You shouldn't have any issue at all. Just pick a country, go there and apply
There's no way to apply for or get DTV's for the children without ALL of you going to the country you're applying in.
You upload proof that you're in that country when you apply
Just taking the passports without the kids isn't gonna work because you can't get passports stamped in without the people whose own those passports being there