What is the process of going from Assisted Living to Nursing Home on Medicaid like?

I have a relative in assisted living now and they are paying privately. They still have about $100K in personal assets. The rest of the assets were put into irrevocable Medicaid compliant trusts 6 years ago. We may get to the point soon where the ALF tells us his care levels exceed their ability to provide care and he needs to go into a nursing home long term.

What is that process like - if we want to get a Medicaid bed eventually? I'm assuming we would go around to all the local nursing homes that take Medicaid and say we need a long term bed, he has $100K in assets, X amount in SS and X amount in VA pension. Then I'm guessing some will tell us whether can accept that and how long it will take to get into a Medicaid bed - right? Once there, all the personal assets must be spent down to the nursing home, right? Then, once on Medicaid, all his SS and pension to the nursing home?