Electrolysis doesn’t have to hurt, but to my understanding (I haven’t done electrolysis on my face… yet), the upper lip is more sensitive than other places. I have done laser on my beard so I can speak from experience from that. I don’t know too much/anything about WPW, but there are things you can do to reduce the pain, which ought to reduce tension you would do. I think you can buy lidocaine cream over the counter. Applying that 30-60 minutes before your treatment should reduce the pain (at least it does for laser – electrolysis experts can weigh in better than me, but I feel like I remember reading here that it can help reduce electrolysis pain as well).
Your cheeks will probably be fine. The beard is a very tricky area, so I wouldn’t go on price alone. You need to make sure that they overlap efficiently and they are using high settings. From my own personal experience, I’d look for laser at a dermatologist’s office rather than a spa, especially for the beard. You might end up paying more, but I have found they generally take better care of you (again, my own personal opinion.) I pay way more than I should for laser beard treatment, but in exchange, she gives me free lidocaine cream AND gives me lidocaine injections in my face. She also does my face twice, once with an alex laser and once with a YAG laser. Could I find a cheaper place? Most certainly, but she also takes very good care of me, so for me, it’s worth the extra money (somewhat haha). Why am I telling you all this? To give you an example that price alone is not a good measure of treatment.
You said you are in Los Angeles, right? I would run a search on the forum here. If you’re willing to drive a bit, I can give you a recommendation for a place someone on this forum gave me (I drive about an hour to go there. I’m from San Diego but it is well worth it.)
EDIT: Actually, now that I think about it, laser on the face hurts so much that you might end up being more tense with laser on your face than with electrolysis. Just a warning.
sorry.