My recommendation, look for smart locks that work locally with no need for online connectivity. Also choose something that does not replace the deadbolt but only replaces the latch on the inside of the house.

This means if you need to change deadbolts you can always replace it without getting a whole new smartlock, and if the smart lock fails you can always open the lock with a regular key.

As for local control, loom for something that works on ZigBee, matter, or zwave and something that you can potentially hardwire, batteries can sometimes last six months on some smart locks but it was a hassle for me, and rechargable batteries only last about 2-3 months.

As for me I choose the August Smart Lock Pro, 3rd Gen with Z-Wave, Silver (AUG-SL03-M03-S03).

I chose this as it had z-wave and is able to connect with homeassistant without the need for online connectivity. One item to note, this locks zwave function is reported to drop by many users, I personally have had no issues, but I run everything through HomeAssistant.

There is also integrated bluetooth which can resolve those issues with bluetooth relays noted on some places online.

As for hardwiring these locks, if they use batteries you can use something called "battery eliminators” which are basically power supplies connected to an equivalent number of dummy batteries, so in this case a 6V supply and 4 AA batteries, one of which connects to the supply. Just make sure to get your voltage correct, you can use a voltage regulator to do this.