Maintenance for the week of November 18:
• PC/Mac: No maintenance – November 18
• ESO Store and Account System for maintenance – November 19, 9:00AM EST (14:00 UTC) - 6:00PM EST (23:00 UTC)
• PlayStation®: EU megaserver for maintenance – November 19, 23:00 UTC (6:00PM EST) - November 20, 17:00 UTC (12:00PM EST) https://forums.elderscrollsonline.com/en/discussion/668861
Go into launcher settings (circle icon in top right corner) and choose your megaserver. Keep in mind that items bought in the crown store on EU won't be available on NA and vice versa.
Also you should know that you'll need to download the entire game a second time for the second region, this game isn't like WOW or Rift where one client works for both regions.
Oh...will I need an entirely new account to log into it as well?
No, not at all, it's simply how the game client is packaged that means you need a separate install.
When you run the Launcher you select which region you want to play, that determines which game client (ESO.EXE) is run, your single account is valid for both.