Using my kids Xbox Gold accounts on new Xbox S

Yes. The subscription is tied to their account, not the console, so they can sign in and use it on any console.

Also anytime an account that has gold is logged into an xbox any other accounts can use the gold of the the signed in account. We use this for when my 2 kids want to play on separate xboxes. My front room xbox is set to home, then I just sign into the
backroom xbox then let my kids sign in also and then they can use my gold on both xboxes.

Ok. This is I think is part of my problem. I have set up the xbox with an Microsoft account that I don't use and an email that I don't use? My kids profiles are under this Microsoft account. Then I have a Microsoft account that I do use and is this for
real?? that is how I purchased the xbox one s live gold membership?...

Yessir

My GT (account) is where gold is and that GT is also setup on new XsX main xbox

The old xbox, now the kids, is not the home xbox no more and still has my account on it along with kids. Have the controller set to login their GT upon controller start.

We run 2 xboxes all the time, basically we have our front room xbox set as the home xbox for the account with gold. Any other child accounts and other adult silver accounts can play on this xbox with out the gold account being signed in. The backroom xbox
is setup for the gold account to log into, this xbox is not setup for any account as home. So the only account that can really use it is the one that has gold which is my account. So I can play in the backroom while the kids play in the front. So what we do
if both kids want to play on separate xboxes? I sign my gold account into the backroom and then allow one of the kids to also sign in. As long as the gold account is logged into the backroom both kids can play on either xbox. As for content it needs to be
bought and downloaded by the account that has gold for everyone to have access to it on the home xbox. Hope that kinda gives you a picture of how it works.