Go to a MD dermatologist for an exam. Anything suspicious will be biopsied. The biopsy entails a lidocaine injection for local anesthesia followed by sampling of the lesion. You'll feel the pinch of the needle, then the lido takes effect. The biopsy will take a few minutes.
Basal cell carcinomas are the most common form of skin cancer. Squamous cell carcinomas are also common for your demographics. If you have either on your face, once the diagnosis is confirmed with biopsy, you'll undergo Mohs micrographic surgery, as described by the other posters.
Cryotherapy (freezing with liquid nitrogen) is reserved for precancerous lesions (actinic keratoses), benign lesions, and some in situ (non invasive) carcinomas.
Primary prevention (sun avoidance, clothing, SPF) is ideal. But for the exposure you've had, get checked and get treated early. Basal cells can become locally destructive and disfiguring if given enough time, which some people do. Squamous cell carcinomas have a more aggressive natural history....again, easily controlled if caught early and properly treated....neglect and / or mismanagement can lead to disastrous outcomes.
In general, these types of cancers (UV-associated BCC and SCC) present as bleeding, painful, nonhealing, and / or growing lesions.
I hope this helps and best of luck.