I was on it for a few months about 5 years ago and really liked it, but like daisyduke said, it was $45 a month (I would have thought it had gotten cheaper by now) and pills were free from my clinic. One pill I took made me gain 30 lbs in a short time period which was really horrible. I've never really gained weight for 10 years so it really freaked me out. It went away though but that's why I tried NuVa ring. I didn't have the side effects at all. It did come out a couple times though. I think it was because I didn't get it in well. Be careful taking it out on purpose. Make sure that you get it back in within a couple hours because after a while your body won't have enough hormones to protect you. They give you instructions. I forget exactly but falling out for a minute is one thing but if it falls out over night that is different. I really don't think it accidentally comes out that much for most people though. I don't remember my period stopping but it is possible that it could.
I've been on Depo Provera (shot) and it's great. No period, my insurance covers it for free, and I only have to worry about getting another one every 3 months. I'd recommend it. I haven't had a period in 15 months! Whee! I'm switching to Mirena (IUD) though because I move a lot and it's hard to set up the shots and transfer my medical records. I'm hoping I don't get my period again while transitioning. By the way, it sounds like they are all about the same effectiveness. Good luck!