this is assuming the other two kids wouldn't want to buy it.

None of them are likely to be in a position to buy the others out of the house, and my oldest is the one most likely to want to keep living there, my middle likes where he is and my youngest actually doesn't care for the suburbs.

I do think some kind of arrangement which allows oldest (and youngest, if he wants to) keep living here in the short term, with a plan to split it/sell it in the future. With any luck, I'll live a long enough life to help them all get set up in their own homes and downsize my own, but for the foreseeable future, this seems the best plan. Maybe a ten year term before it needs to sell?