You should be fine with a 802.11n router which is what I have with the exact same advertised speeds. Since you answered no to many of the questions that a 'yes' would have justified getting the fastest possible router in your budget allowed, you have many choices.
It is unlikely that you have any .ac compatible adapters (unless you have a newish laptop). However that doesn't necessarily mean you shouldn't get an .ac router. You can get a reasonably priced .ac compatible router which gives you dual band and .n compatibility and gives you the benefit of .ac if you upgrade your computers down the road.
As for brand preference opinions will be anecdotal. I like ASUS, Linksys, and Netgear, and I've had bad experiences with DLink. Someone else will tell you something different.
As for coverage, bill001g is a little off. It is true that there are regulations that govern how much power can be transmitted. However power is not the only factor which dictates how well a router works in any particular environment. Antenna design and configuration has as much or more to do with the distance at which a router will work. Of course the router is only half the equation, your wireless adapters will be the other half. Another contributing factor is where the router is located. I have found that moving a router even a couple feet can have a drastic effect on how well coverage is at the extremes of their range. This basically come down to the materials used in your house that are between the router and wireless adapter. Newer .n and all .ac routers are designed with MIMO in mind which improve throughput at longer distances. This comes back to antenna configuration.
Also a general rule of thumb. lower frequencies penetrate through structures better. So 2.4GHz will usually perform better than 5GHz when passing through walls / floors / ceilings / etc. However on the flipside, 2.4Ghz is pretty crowded, especially if you live in a apartment or closely packed neighborhood. So co-channel interference can be troublesome in the 2.4GHz band.
I personally like something with external antennas (though the router I have now doesn't), but these are more expensive. Let us know which country you are in so we can give some specific make / model numbers that will fit your needs.