I've bounced back and forth between a couple of government sponsored health care plans, with Medicaid being one of them. From what I understand, coverage depends on where you live. You might want to check the web site of the dept of health & human services in the state you're moving to.
When they implemented the affordable health care act, there was a provision where the federal government would subsidize the states if they expanded access to Medicaid. Some of the "conservative" states opted out of this and that affects what's available in those states a lot. Each state also has it's own eligibility requirements, etc. As a rule of thumb, kids are treated reasonably well, families come in second, and single adults the worst, which is actually kind of reasonable.. What that comes to depends totally on which state you're dealing with.
Here (possibly the most consistently liberal state in the nation) as a single 'working poor' adult, the coverage ranges from free to cheap and it's pretty good. Not much for co-pays etc. Here, they ask you to pick a 'provider' which amounts to picking an insurance company to deal with and you'll use their network of doc's hospitals, etc, just like any other insurance client. The only difference is the government negotiates the coverage with the insurance company. I'm not sure that's the same everywhere.
If you have a doctor (or therapist) you like, make sure they are listed in the network of the company you pick. Every year when it's time to redo the paperwork, they've changed the list of companies (that's a county deal in this state) and I email my T with a list of possibilities and ask him who he'd prefer to work with. So far so good on that. Most of the docs & hospitals in this county stay aligned with what ever the county goes with for networks.
There MIGHT be a residency requirement of some type. What that is depends on the state. Most of them don't want people moving into the state for 'welfare benefits'. In general, I'd say the more liberal the state, the better off you'll be. But, the web site/phone line deal doesn't sound like a good sign. (I once spent 2 hours on the phone with the main office at the state capital trying to straighten something out. That was a year ago and it's STILL not straightened out. But I still have coverage. :confused:)