I'm going through a sort of "disappearance" right now actually. With so many people in my social circle trying to track me down right now, I've had to jump across my entire state. I thought flying under the radar would be easy, but it's not. If someone reports you as missing, that's a whole other problem.
Don't cut ties with people super quickly, it can raise their suspicions and make them just that much more obsessed over you. Also, really think about if this is what you want. It's hard to come back, so make sure you have a plan in mind. I'd deactivate my social medias, just to be safe. If you drive somewhere, you could also be recognized by your car. I'm not sure how severe or how far you're planning on taking your disappearance, but it's better to be safe than sorry. If you fear that people will actively be looking for you, you could change your appearance. Dyeing your hair, wearing contacts, glasses, hats, etc.
It's hard to just disappear. It takes time, thought, and patience. It's a long and grueling process that requires lots of thought beforehand. Take the time to calculate a plan, save money to travel, slowly lose relationships, and tie off any other loose ends. If this is what you want, know that it'll most likely be a long-term decision.