So you have frequency radio, frequency channel and speed.
2.4 and 5ghz (5.8 to be specific) is a frequency radio, the radio can see the entire frequency band . The entire 2.4ghz band goes from 2.412 to 2.484 ghz (2.484 is channel 14, USA though has only used 11 channels since wireless G).
So channel 1 is 2.412ghz, and each additional channel is approximately 22mhz apart, thus channel 6 is 2.437 and 11 is 2.462.
Now the 22mhz channel width is not sufficient, so while in USA there is 11 channels, you really only get 3 because you really need roughly a 2.5 channel gap to not have interference, so channel 6 for example actually bleeds over on channel 4-8. This is why 2.4 band gets so saturated in concentrated environments like apartment buildings. 5ghz band solves a big portion of this problem because it has many more channels and as a result of the frequency being double, its ability to penetrate solid objects (and thus its range in your home) is less. Due to 5ghz band having less range, its downside is that a single router is not able to provide solid 5ghz coverage in a larger home.
Max speed is determined by two factors, first of all the wifi standard (G, N, AC, AD, etc). For N you could only get 150mbps per antenna but AC can do a max of 433. The second factor is the number of bonded frequency channels your router has (which will be determined by antennas). AC1200 will have 2 antennas, AC1900 has 3, etc.
As BFG said though, many router companies have started putting multiple 5ghz radios (not just bonded channels) into the same box so they can put a bigger number on the box. These wont actually give you more speed, just allow you to have more simultaneous devices. These ultra speed routers are pretty much fluff marketing because you would need a > 100mbps internet connection, 20+ 5ghz wifi devices, and be in a 1500 sqft or smaller home to actually make full use of a tri or quad radio router.
Also as BFG said, 2 AC1200 or AC1900 routers with the second one setup as an Access Point on the other side of the house will be far more usefull.
Just an extra FYI:
Most residential grade WiFi repeaters are single radio devices and thus use the same radio to communicate with both the router and the devices connected to the repeater. This means that it has to split its bandwidth in half, so if the repeater is getting a real speed of 100mbps then it has 50mbps to share across all devices connected to it.
This is why a router + access point with an ethernet connection between them is way way faster (and more reliable).