Re: the sims 4 new computer
Just install Origin on your new computer, and log in with the account you used to install the base game on.
Under the 'My Games' tab The Sims 4 should be ready to be installed.
To download your expansions:
- Go to the 'my games' tab in Origin.
- Hover over your 'The Sims 4'.
You'll see a little screen come up with an 'i' and a 'play/download/install' button.
- Click on the 'i', you'll be taken to a different screen.
- Scroll a bit down and there you'll see all your expansions, game packs and stuff packs.
- Download them through there.
For you saves, you indeed need the Electronic Arts folder in the Documents folder.
If you feel unsure about what you need to copy: http://sims4.crinrict.com/en/2014/09/backups/ (not a strange link, this is the site of a fellow hero, named Crinrict, on this forum).