Are the winners REQUIRED to publicize who they are?
In most states, yes.
Money seems to poison some people's lives. I don't know if the extended family could handle it or not.
Generally, many members of my extended family could not. Even if you do "something" to help, that "something" is never enough to appease them. This is part of how many lotto winners get bled dry...
I'm sure that at least for a period of time we'd need to move away from our town for anonymity.
This is a start. Jack Whittaker in West Virginia lived in a small town (where he couldn't be anonymous) and was bombarded by random people asking for money due to some sort of alleged tragedy in their lives. Supposedly, sentiment amongst some of the locals was that he didn't give back to the community enough, even though he gave millions. I think this would not have happened to the same degree in a larger city where he could have been relatively anonymous.
Some sort of hobby business to account for our wealth. Even if it broke even at least I would never need to mention the topics of the lottery or inheritance during social calls.
A car wash worked for Walter White.
...
On another note, I seem to recall a lotto winner a few years back who was relatively Mustachian and planned to invest the money and grow it, living off a modest stipend. I think it was out west somewhere? I also seem to remember he already had a TDI Volkswagen, and planned to give it to a relative and buy himself a new TDI Volkswagen. Can't find any trace of him now. Maybe he wasn't a lotto winner but some sort of startup founder or other person who suddenly became rich. Regardless, I wonder whatever happened to him.