As other have already said, if you're moving into a new house and I assume doing some renovation / decorating work as part of that, then run wired access points back to your router.
You don't need to install an AP in each room, one on each landing and one at the back of the house for the garden is probably enough, which may make the wiring/retrofit easier. Most access points are powered via
PoE (via a PoE switch or a
PoE injector at the router end) so you only need to run a single ethernet cable to each AP — no need to run separate power cables.
Mesh networks aren't a magic cure and in some buildings / environments will present their own challenges. The best will have their own dedicated channel(s) for your wireless backhaul. But the mesh points will still need to find a (RF) path back to another mesh point (and each hop will introduce latency).
Additionaly if you're in an area with lots of wifi networks you may find you don't have the spectrum to run a decent wireless backhaul in addition to the channels needed by the access points themselves.
That said I installed a
Ubiquiti Amplifi HD with 2 mesh points at my parents earlier in the year and so far it's been working fine for them in a largish house and garden. The app/interface/UI is fairly basic but well designed and does everything they need. I didn't replace another mesh system so hard to make any comparisons, all I can say is it's been trouble free for them since and provides decent bandwidth around the house. Had it been my house and/or they had been using it for work reasons I'd have hardwired in some access points, but they have fairly light internet needs and so far it's covered them for that.
At the end of the day all (well designed) mesh systems (with dedicated wireless backhauls) are working to set RF limits and protocols. Some will have better software in terms of ensuring the mesh points connect to the best upstream node/use the least congested RF channels/reduce db power output as appropriate, along with better UIs for configuration/monitoring the network. But, other than software and implementing a dedicated channel for the wireless backhaul, there is no 'magically' better system in terms of RF hardware (assuming the same 802 protocol/aerial configuration) that is going to get you a vastly superior mesh setup — simply in terms of coverage. They are all constrained by the same RF regulations and physical limitations. A mesh package that may get glowing reviews from one user when used in their environment, may offer a terrible experience when used by another user in their environment.
If you want
the most stable setup, wire some access points back to your router. If you're looking for recommendations of good, prosumer APs with decent software then you probably can't go far wrong with
Ubiquiti Unifi APs. The best model for you will depend on your needs, bigger isn't necessarily better. The
AP WiFi 6 Lite is problay a good entry point for home use, or the
HD Flex which may be easier to mount.
You can use Unifi's wired access points with any 3rd party router (using the
Unifi Mobile App to configure them) or with
one of UniFi's own routers for a better end-to-end 'single pane' experience.