Perhaps in the near future I should set up one of these home energy consults with PSE&G. They could probably advise on what type of thermostat would be compatible and whether I need some wiring work done.

Also, because I don't know where else to put this . . .

I've got a Mitsubishi mini-split A/C system. Mitsubishi offers a wireless smart thermostat solution as an add-on to the base system. It is expensive, requires professional installation, and the equipment is backordered due to supply chain issues, etc. However, I came across a simpler third-party solution. They're called Flair Pucks. They're basically wall-mounted IR remote controls that integrate with a wi-fi enabled hub and/or smart thermostat.