that's not legal unless you use another adobe id to create one account for each of your kids, or you obtain a team/enterprise account, Creative Cloud for teams frequently asked questions
that said, you can install the cc desktop app from here https://creative.adobe.com/products/creative-cloud on as many computers as you own and use it to install all (or some, if you want) of your cc subscription programs. the only (insignificant for internet connect computers and a single user) limitation is that you can sign-in (and therefore start your adobe programs) on, at most, two computers at any one time.
because you can sign out from either (or both) signed-in computers using a 3rd computer, this could not (imo) be easier.