Best Mesh WiFi System

I'm an IT guy, and I would say the best mesh system for home use is the Netgear Orbi. Pricey, but I have not seen anything else that works as well. 

Does the “rather large house” have any sort of CAT prewire?  Any properly implemented system of hard wired access points will always outperform a wireless mesh setup no matter how good it is.  

I use and like the Eero Pro 6 Wifi mesh network system for the following reasons:
1. Stable system with up to 1GBps download speeds. 2. Very stable. 3. You can use multiple mesh routers. You are not limited to a certain number of them. 4. Regular firmware updates. 5. Excellent and available support. 6, easy to configure and setup a system. 7. Offer Secure+ system which furthers secured your network. Comes with subscriptions to multiple free useful software. Regular discount coupon codes available to reduce the annual cost of this service. 8. Ethernet ports in the rear of each Pro unit (2).  9 Some integration with Amazon. But not tight or intrusive. 

I went with the Wirecutter's top pick. Their report educated me, too. https://www.nytimes.com/wirecutter/reviews/best-wi-fi-mesh-networking-kits/

doni has already made a choice, but for others who may be interested...

I've been using Asus routers for many years (over a decade easily), so I am partial to the brand and accustomed to the user interface. About 5 years ago when Mesh came on the radar (for me), Asus did a really cool thing - they pushed a firmware update that added Mesh capability to routers that had the hardware to do it. This firmware update allowed Mesh for our home (for free), which has 4 routers covering a 4,000 sqft home and 1 acre of surrounding land.

A while back, I was having WiFi connection troubles with a NAD unit and other devices on a particular router - after struggling with it for a while (Cat cable tested good), I re-terminated the keystone wallplate punch terminal and WiFi has been rock solid on that router ever since.

BTW, two of the 4 routers were 'factory refurb' purchased at discount - I've had no problems with those. I think many people are confused by these types of devises and return them to let their ISP do it - so bargains are plentiful. For myself, I appreciate having all the control over my cable modem and routers, and Asus really shines when it comes to user-controls. I also appreciate the built-in NAS functionality, TrendMicro security and deep-dive usage reporting & statistics (with graphs and history) of these routers.

I highly recommend Asus, one of the few companies that has consistently exceeded expectations - for me that is rare.