First off is it possible to grab save game data from one computer and move it to another if I wish to play on the other system?
Sure. In game, go to Options > Mods > Show Mod Path. The path for saves is the same, except instead of the \Mods folder it'll be in one of the save folders. There are 4 separate folders for saves, depending on the type: Autosaves for Single and Multiplayer, and manual saves for Single and Multiplayer.
Simply transfer the .save file (you don't need the .stats) to the other machine to play it.
The save *should* pick achievement progress for that particular game, but you can also transfer achievements, for which the file is pretty obviously named in the \Setting folder.
