I'd second the Asus recommendation above if wired isn't an option. Bought one last week after sending a Netgear XR300 back. The Asus has been superb with 2 Xboxes, PS4 Pro and a Switch. Xbox consoles are used at the same time. Admittedly, they are connected with Powerline adaptors but WiFi performance has been superb throughout the house also - 500+Mbps wireless in most rooms.
The Asus has some gaming features that may help also. Worth stretching to the top of your budget for this one imho.
It is the same as buying a car, TV or a mobile phone. There are lots of models with different features at different price points so difficult to recommend the "best" one that will suit everybody.
Deciding on a budget is a good start, I'd also suggest coming up with a list of features you want/need the router to have (e.g. parental controls, USB slot for device sharing, etc). Then draw up a shortlist of routers in your price range that have the features you want and see what reviews they get from actual users on places like Amazon.
If you narrow it down and want feedback on specific models then there might be somebody on the forum with the same model that can provide feedback.
I often feel there is a slight Asus bias on this forum, or at least an anti Netgear bias 😏. I have always used Netgear routers and have had no issues, my current R7000 is over 5 years old and still going strong. I was pleasantly surprised that after recently moving to the 350Mbs tier and getting a better mobile phone I could get 350Mbps download via wireless. I have used a PS3 and PS4 without any issues, although they are wired rather than wireless and I would second @Adduxi's comment about not using wireless for gaming.
My setup: V6 TV box, M350 Fibre broadband with Hub 3 in modem mode connected to a Netgear R7000 router. Telewest/VM user since 2001.
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I would always go for an ASUS over Netgear any day of the week.
-- Red (VM SH2 AC Beta tester) Running on 1Gbps VM service with SH4 in Modem Mode, with a ASUS RT-AC5300 router. With this setup I get Fantastic WIRED and WIRELESS Signals in my home. I dont work for VM. But I work in IT, and I know my tech. My advice is at your own risk. If you are happy with my answers please press Kudo ?