It shouldn't be too bad. Ask for plenty of post-op opioids. You'll be in nasty pain for at least 12 hours or so. You probably won't be able to get morphine, even tho I think you really need it, for extraction pain -- the combination of ingredient tablets commonly prescribed aren't quite strong enough.
You might want to have 1 or 2 teeth taken out at a time. That should cause less post-op pain. Perhaps both the uppers, then both the lowers. Or both teeth on the left, and then both teeth on the right. With this scenario, only one side of your head will be in excrutiating pain for a few hours. The other side will only be in mild to moderate pain.
You might want to take a non-steroidal anti-inflammatory, if you have a lot of post op swelling. Less swelling, less pain. Ask for a prescription or take plain old aspirin, ibuprofen, or whatever. With a prescription, you can take a larger dose of ibuprofen than the non-prescription dose. Which could help with swelling, tho the extra amount wouldn't help with pain not caused by swelling.
I think a combination of drugs may have a synergistic effect. In other words, if you get an acetaminophen with codein prescription, take 650 mg of aspirin in addition. If you get aspirin or ibuprofen with codeine prescription, take 650 mg of tylenol in addition. You can take as much codeine as you can fit in you, up to about 300 mg. But don't do that if it is formulated with something else -- you'll get an overdose of the something else. You can take up to 1000 mg of aspirin, or 1000 mg of acetaminophen, but if you take both at the same time, I'd limit it to 650 mg each. It is important to limit acetaminophen because excess can cause liver damage. Excess nsaids can cause stomach ulcers. The former is worse, obviously. Stomach ulcer can heal. Liver damage -- you may need a liver transplant or you die. Do NOT take any alcohol with acetaminophen. It can cause liver damage. Typical tablet formulation are 325 mg acetaminophen plus 60 mg codeine in the same tablet. So you can't take more than 2 or 3 without taking too much acetaminophen. Which limits you to 180 mg of codeine -- yet you can could take more codeine without a problem.
I found that I needed a total of 1000 mg aspirin plus 180 mg codeine, to control my post op pain for 1 wisdom tooth. But I didn't have mine dug out. They were already erupted, and extracted without needing to cut through the gums or bones.
You'll have less post-op pain if you have a local anesthetic rather than a general.
If the teeth are just below the surface it may not add too much extra pain. Cutting the gum is no big deal, cutting away bone to reach the tooth would be more painful.