As Dencha said, you need to have testing done to see if you need surgery and if so, what kind of surgery would be appropriate for you. Example: I needed surgery because I had a paraesophageal hernia (the kind where the stomach is stuck permanently in the chest, after a bad wreck). I was given a partial wrap (Toupet) because my swallowing is weak. This is not the same as a "floppy" wrap! I was sent to the particular surgeon because he has done several thousand and is well known internationally and has a rep for good results. (No bedside manner, didn't even come to the bedside, but technically a great surgeon) I wouldn't demand a particular type of surgery just because others had it.
I can burp just a little when my stomach is relaxed, but I can't force a burp. That's fine. No matter what kind of surgery, this is the result you want because if your new valve is too loose you also get reflux. I don't have reflux. My pain from the hernia is gone. I had no infection.
MamaKaren - My surgeon does second and even third wraps with scope.
I recommend reading all the info in the posts at the top of the forum. My surgeon's paper (an old one) is linked on one of the posts.
I had a lot of trouble getting tested for the surgery and was unhappy with haveing less than minimal followup, but I'm very happy with the result. I'm one of my surgeon's 98-99% successes.