NetTechGuy

This might be of interest if you want a Dremel - like tool, it seems that they are now making a compact screwdriver: https://www.dremel.com/en_US/products/-/show-product/tools/go-01
 
I believe this is available at Lowe's and Home Depot stores in the US, though I do not recall the sell price and have not tried one myself. Otherwise, DeWalt and Makita both make compact cordless screwdrivers of a similar design, though they will be more expensive than this one. Happy shopping!

The Ubiquiti Unifi line is pretty good if you want to get away from an all-in-one device, something like an 8 port or better PoE switch to feed an AP or 2 depending on the size of your home is a setup our clients often go with that delivers good performance. If you drop in a Unifi USG as well, that will give you your routing as well as a nice hardware firewall while staying in the same product family. Configuration is pretty easy, and the products are widely available in the US market. Good Luck!

I would suggest a wall mount bracket designed for mounting 19" network equipment in the proper orientation, they are not terribly expensive and available in different depths and mounting capacities depending on the size of the equipment. If the unit weighs more than a couple of pounds, get a small piece of plywood to put behind it and the wall if the surface is drywall or plaster to prevent the unit falling off. Hit up amazon or somewhere similar and search for patch panel wall bracket, you will find all kinds of good options at various price ranges.

As long as you use a quality coaxial splitter you shouldn't see any performance degradation. Ideally, you would use a splitter designed for digital cable or satellite signals, stay away from the cheap ones and make sure to install terminators on any unused ports to prevent signal bleed.