I am playing morrowind but I think my computer is about to go bad. Can I copy my existing game and move it to another computer and continue playing? I see the save files in windows programs but don't see a way to copy.

Save files should be in your Morrowind directory, probably something like C - Data Files - Bethesda Softworks - Morrowind and somewhere there (don't have it installed at this very moment so I can't tell you the exact place). From there you can copy all the files and paste them back when you reinstall the game.

Note that if you use mods you'll have to have the same mods for your save game files to work. The save will look for them and the game may crash if too much/too important files are missing. However you can alternatively clean the save game file with one of the tools for cleaning that sort of stuff.

ok I did that, then pasted to game downloaded on another computer and when I tried to load the pasted save it made me answer yes about a gazillion times to continue running executable. I think this was because a lot of the game I played, kills, locations, etc. wasn't on the master file. Does this sound right?

Were you using any mods/expnsions on the computer that you have copied the saves from? You'll need them (preferably in the exact same order) on the new computer if you want to avoid problems with the save.