You need to make one big choice first.. wired or wireless.
If you own the house my recommendation is you wire it with ethernet.. it is expensive job.. far more than what a few wireless routers cost.. but ethernet is fast, reliable and longterm. Wireless does not and will never replace it.
I would wire every main room in the house. And even some of the bedrooms and service spaces. And you need some space for a central point where all these wires come out and will be patched to a switch and router.
If you rent or live in concrete box where this sort of wiring is impossible then mesh is the better option.
Even if mesh is better than the old wireless repeater system... the better mesh uses a secondary high speed connection for system backbone.. those are the more expensive ones like Netgear Orbi.. I do not know much about. I used a lot of wireless in the past and it has been such a disappointment including Apple wireless routers. They might work fine to transfer data but when you start time sensitive stuff like streaming or VOIP they become useless.
For wired systems.. Ubiquiti unifi stuff is probably the best. It is not easy as Apple to install but it has pro rather than domestic type controls and reliability. Particularly if you like the Apple centralised controller the unifi is even better but about 10x more sophisticated. To actually tell you what you need to buy is impossible without knowing what you need in terms of speed of your connection etc. But for most people you can get away with fairly cheap end USG router and 2 or 3 UniFi AP AC lite which will come out around $300 so not a lot more than high end domestic router. (As long as the wiring is in place).
A few of us here are in the midst of moving from Apple to Ubiquiti (unifi wired) systems.
The best of the domestic systems I would say Asus or Synology.
Synology has been a recommend on a lot of sites if you google for Apple router replacements.
https://www.macobserver.com/tips/synology-rt2600ac-apple-airport-extreme-replacement/
I have been trying to work through some issues with another person here.. where wireless was really poor.
https://discussions.apple.com/thread/250121897
The issue was specific to one Mac in his network.. I do have a synology and cannot reproduce the issue.. but it is something to be aware of.
I do have issues with its IPv6 implementation. So if you have a particular IPv6 setup I am not sure synology will fit.
I also run high end Asus routers and have done so for ages now. Asus firmware is hugely superior to the run of the mill domestic router.. although there is no central controller. I have previously recommended here models like the RT-AC88U or AC86U as being top of the line for domestic routers for most services you may want.
I did run into an issue.. it was having issues with my particular setup. Again like the synology this is a problem a handful of people experience but if it happens to you, there is almost nothing you can do about it.
My ISP has just introduced IPv6 and the older Asus I have kept.. RT-AC3200, works best of all these routers.. USG worked but was difficult to configure, Synology did not work at all, so I am for the time being back to the Asus. NOTE with wired systems you can do this.. you cannot willy nilly swap components on a mesh system.
Both Synology and Asus also sell mesh satellites and their main routers have mesh additions loaded and available.
I was also searching for Time Machine compatible routers. And I can add that Asus and Synology both support it to a USB3 hard drive.. which is just as fast as internal drive on a Time Capsule or even better. The Asus proved unreliable on about an 8 week cycle.. the synology was better but I have not been doing long term tests as I am up to my armpits in Ubiquiti gear and installing it. Synology NAS is known to work well as again a few of us here use them and we recommend them as alternative to Time Capsules.. expensive though.
That is a lot of info to absorb.. it helps if you tell us exactly who is your ISP.. your actual upload and download speeds.. number of clients.. type of dwelling.. any special needs. Parental controls, Guest wireless, VPN server or client, remote access etc.