I am going to go against the grain a bit here, but I have done two houses with structured closets, and I think they are crap.
I would highly recommend mounting plywood (the nice kind! on brackets or hinges and using the wiring cabinet as a receptacle for the extra wire. Drill 2-3 clean 2" holes for the wire to penetrate.
Mount a nice patch panel to the top of the plywood and terminate every Cat5 wire to it, even the phone ones and the inbound service lines. Label each keystone with the room and port number (also label the plates in each room)
Get a phone module that uses RJ45 connectors, not punch-down, and mount it below and to the side. Punch down the service connection only.
Get a Gigabit switch and mount it similarly, then mount your modem and router on the plywood and buy a handful of 1' white patch cables.
Connect the service to the modem, the modem to the router, and the router to the switch.
Once this is in place, you will marvel how easy it is to set up and maintain your network! Want phone in the Living Room, run a patch from the phone network to the appropriate jack on the panel. Want Internet too? Run a cable from the switch to that port. For me, I have only three live phone ports in the house - my kitchen wall phone, my office and my bedroom. The other phones are wireless and just need charging bases. May as well free up the Cat5 for something else.
Even better, you may find that you want a wireless head in a room. So forget about the phone and connect both ports to the switch. Then you get two live ports in that room, one for your computer, one for your wireless A/P.
And, more importantly, you will have saved yourself plenty by not buying poorly-built, expensive "modules" that are harder to keep tidy and comprehensible.