Ok, so I've been thinkin about this, and here's what I came up with this.
Just hook them up to your parkin lights, and then tape one contact point on your parkin light if you don't want them on as well. It will still blink when you turn on your blinker, but will otherwise be off.
Would be to tap into your fuse box. You could tap into anything that is on when your car is, take your pic. Not a great idea, but it will work. Problem is you may have a current issue, and not be able to get enough juice to your rings, they won't be as bright. I'd go with option 1 IMHO.