Your new High Speed Router should have 3 or 4 Ethernet ports on the back of the device. You would connect an Ethernet cable from one of those ports.......Use Port 1 if available.......to the WAN "O" port on the Time Capsule.
In other words, the Time Capsule must connect to a modem or router using a wired Ethernet cable connection and then be reconfigured to work with the new router.
Once the Time Capsule has been set up again, you can use the WiFi provided by your High Speed Router to back up your Mac(s) to the Time Capsule, which is located close to the new High Speed Router.
If for some reason you do want to locate the Time Capsule in the same room as your iMac (there is no advantage to this performance wise) then you will need to run a long Ethernet cable from your new High Speed Router to the Time Capsule location.
Not sure why you would want to do this though, since the Time Capsule will work the same if it remains close to the new High Speed Router and connects to it using a short Ethernet cable.
You won't use the WiFi provided by the Time Capsule. In fact, you can turn it off if you don't need another WiFi network for guests or the kids to use.