This picture shows what my new home has for the wiring necessary for internet access. Some of the wiring here isn't necessary---in fact, most of it isn't, just the telephone wiring.
With an idea of how this looks I assumed I would use what's called a "peg board", a white board with lots of holes in it, attached to the wall of this area and then mount the necessary hardware to the board w/ (what? zip-ties, or?) and then rout the wiring that's necessary in a tidy fashion through the peg board.
The hardware to be mounted to this board include only (a) a small (few inches x few inches) telephone "device" which needs input of 500mv/6.5v, and input of telephone (the telephone wire that gives the telephone connection to the outside (this powers my wireless telephone system), (b) a also similarly small telephone box (the one that provides the telephone wire to (a) which needs ethernet access to the router, and 12v/1amp max. (c) a router (self explanatory), and (d) the internet providers piece of hardware which will take in one of these raw telephone wires (pictured), and their own (power brick :), and possibly later (d) a wireless AP. Lastly, a 120v mains switch that can turn on/off all of that above. There's a mains within feet of this hold w/ the wires.
This isn't a complete solution to this question however, e.g., one technical point is missing: how do I mount this pegboard to the wall? The answer to this question finishes the possible project.
EDIT: the pegboard would mount horizontally as: Note: the internet provider will be having to come on site to fix the wiring for their modem.
EDIT: additional thoughts
There are three "tv type" cables (one of which has no connector on it), and three "telephone type" connectors none of which have connectors.
Possible answers to this question might include such information to address: (a) that first, the hole could be repaired, and then a utility plate for cable/telephone could be used to tidy things up, and labels could be put on the respective outlets on this plate. Problem here may be that there wouldn't be room for labels (given six outputs) and, can one even find a six output plate like this? (b) two utility plates could be used to overcome some of the problems in (a).
Re mounting of the board: (a) spaces could be used so that the wires could be run underneath the board as needed and the peg holes could be drilled out (increased in size RPN). (b) flush mount the pegboard, and plug mount the utility plates, and run the wires on top of it.
Re attachment of hardware: (a) zip ties.