I used to have Rats Nests all the time until I bought a tarp with small pockets to stow the guy lines. I also figure eight them prior to stowing them. It does take a little more time when breaking down the tarp but I have not had one tangled line since doing it that way.
If you don't have the pockets you can still just figure eight them but I find it's not quite as secure that way. That's what I do with my ridge lines because there are no pockets for them. My tarp with pockets is a Big Daddy by Wilderness Logics. Love the pockets!
BTW...the figure eight is the real trick to not having tangles. I usually figure eight my lines using my pinky finger and thumb. With the last eight inches or so I take about three wraps around the bundle....pass the tail under one of the wraps and cinch it up. It'll usually stay secure in my stuff sack even if I don't have pockets.