Strome one year, either sell at deadline or extend. In the mean time they can see if Chytil can take that spot, if so trade Strome, if not see what it would take to extend him, and if that is too much look to trade him and maybe some other stuff to get a 2c going forward.
ADA I'd go either 1 or 4 years. One year leaves him a RFA with two RFA years left, next off-season see if he is willing to sign away any UFA years, if not just sign him again to a one year deal. That may turn out to become a Trouba/ Winnipeg situation where they eventually have to deal him before he hits UFA, yet sometimes that happens.
Before any of that can happen, qualify all the RFAs
Look for trades
Let them elect arbitration
Don't spend much if anything on available UFAs
Looks for trades
Offer the RFA about what they'd get in arbitration on one year deals, there are comparable deals and will be more signed soon.
See if the RFAs will take the deals offered, if not Rangers elect one year awards, let arbitration award them all one year deals.
If any come in too high for their liking, just sign those one year awards, look to retain if necessary while looking for trades.
Strome on a one year deal would need to be traded or extended by the trade deadline. No self renting.
ADA after the one year deal would still have two RFA left. Try to figure something else longer term out then, if not same process. That may eventually turn into the Strome situation where it's extend or trade down the line. If they sign him to 4 years they buy up one UFA year and that is about the most I see him even possibly selling at any cap hit anyone would like.
Georgiev and Lemieux similarly would have RFA years left after their one year, team still has enough leverage by leaving them RFAs to make an extension, until the trade deadline of their last RFA year where it become the Strome situation, extend or sell in that year at the deadline if not sooner.
If trades need to be made, they do, yet it's not like any of those players lose as ton of value in the trade market on one year deals as anywhere they would be traded to now would just be putting themselves in that same position.