Oh god, I really had a bad experience with my wisdom teeth removal. I removed them about 3 weeks ago. Removing them was actually pretty easy, you get knocked out. They also have amnesia drugs in it so if you happen to wake up, you will not remember it. I was in the operating room, then I woke up in my dads car driving home. I was up earlier, but the amnesia wore off in the car. The most painful thing about the procedure was putting in the iv to knock me out.
So far everything was ok, until 3 days later. I started to bleed. It is normal to bleed occasionally, but it should really stop after 3 days. Not only that, but I was bleeding heavily. It was so bad that I had to go and have my gums stitched up again. Then it stopped bleeding. Until 2 days later. The same problem happened. And we had to go get stitches again.
This kept on going for 2 weeks before I had to go to the emergency room from all the blood I lost. They did a blood test and found out that I have hemophilia. I am 16 years old now(I was 15 in the emergency room) and I never knew that I had hemophilia. The hospital fixed me up though and now it has been almost 2 weeks since I have been bleeding. Luckily I have mild hemophilia so there is only a problem if I have to go into surgery or I have a major injury. The hospital told me later that I had lost a third of my blood. I almost needed a transfusion.
This would explain my major nosebleeds. I get nose bleeds often, but 3 years ago in Toledo, I was bleeding so bad that I had to go the emergency room again. The only way to stop the bleeding was to cauterize my nose. Without any numbing medication. If you don't know what that is, it is when they burn the wound close. It was like shoving a red hot needle in your nose that is coated with acid. Very painful indeed. In hindsight now, they should have tested me back then.
Long story short: Unless you have an unknown bleeding disorder, I am sure you will be ok. Certainly you won't have as bad of an experience as I had.
Tip: If they ask you for iv or gas to knock you out, please pick iv. Even if you are afraid of needles. iv may hurt, especially with dentists, but gas is just horrible. It feels like your choking and it smells horrible. They knocked me out every time I got new stitches, so I got to try both.