Autometer is the brand name of a gauge out there. There are many makers of gauges - Autometer, VDO, Stuart Warner, Sun, etc. Some are better than others and there are a bunch of looks you can choose from.
Mechanical vs electrical refers to how the gauge measures the reading to the gauge. Take an oil pressure gauge for example. An electrical based oil gauge uses a sending unit (on the engine-something you have to install that is matched up with the gauge - make sure you ask if the gauge you are interested in comes with a sending unit - I had to buy mine separately) that senses the oil pressure, converts it to an electrical signal and sends that signal through a wire to the gauge. So what comes to the gauge inside the car is a small wire.
A mechanical based oil gauge needs to have a small tube of oil piped to the gauge itself so it can read the pressure. You actually have to plumb tubing carrying oil to the gauge so it can read the pressure of the oil in the engine.
You can tell the difference by looking at the packaging of the gauge. If there is tubing in the package it is likely a mechanical gauge. Just ask the person at the store and they should be able to help you find the right gauge. Also, remember that volt meters are always electrical.
Here's a pretty simple description of both types of gauges.
Toucan Industries, Inc.
I choose electrical because it thought it would be easier to run a wire to the gauge than trying to plumb oil into the passenger compartment. And, the idea of having oil leak (something that I have never seen with other mechanical gauges I've installed way back when) on my newly done interior isn't something I wanted to anticipate.
Hope this helps.