If you can, go for LASEK. A lot of people thing LASEK and PRK are the same but, while similar, they're not exactly the same (PRK removes the epithelium, LASEK weakens it, so the healing is faster and more comfortable).
If you're going to spar or fight then LASEK/PRK is the ONLY way to go. Because they just place the flap back down in LASIK your eye has an inherent flaw (think in terms of a blister). Sure it can reattach fully and heal as normal however that could take years and you won't know until your corneal flap comes off after a traume (i.e. until it's too late).
Now yeah, a ton of people get LASIK with no problem, however why would you willingly go for something you know is higher risk? Yeah the recovery on LASEK is longer and less comfortable however I don't see why someone would take the risk just for a few weeks recovery time.
I did a lot of looking into this last year before I got my eye surgery, along with discussions with a number of optometrists (some of whom said they would refuse to perform LASIK on me if that was the option I insisted on). Went for LASEK obviously, I was out for a week from work, back training in 3 week2 and back sparring in around 2 months (when they'de settled), it's now around 6 months since the surgery and my eyes seem ok, taken a few shots (and a few black eyes) since then with (touch wood) no apparent ill effects.
My partner went for LASIK, she was back at work after one day off, here eyes were spot on the day after surgery. However she is now having more complications than me (dry eyes) and she obviously doesn't do a combat sport so no corneal flap risk there.
From the research I did and the conclusions I cam to, the best (current) options are LASEK ==> PRK ==> LASIK. As said, the risk is pretty low with LASIK but why choose something that is inarguably more risk (if you do a combat sport) just to save yourself 1-2 months recovery time? Someone IMO would have to be a bit of an idiot to go for LASIK if they do a combat sport.