Well, a couple things. NH public colleges are amongst the most expensive in the country. So coming from the SUNY system you'll probably be shocked at the hike in cost (roughly twice as high for 4 year publics), and arguably some loss of quality as well outside of UNH itself.
Even if you're just looking at a 2 year public, NH is 1/3 more expensive. And as a bonus, there's less grant money available through the state as well, though I think the NH 2 year publics are generally fine as quality goes. But coming from NY, MA would be the much more comparable system in terms of costs and available state aid to cover said cost.
Tuition and Fees by Sector and State over Time - Trends in Higher Education - The College Board
The other difference is that Albany is the center of a metro of 900,000. Which by itself is about 2/3 the size of all of NH. Both Manchester and Nashua have at least some comparability to Albany, and anything outside of those two cities will definitely be much smaller.
I love Concord, but it's NH's 3rd biggest city and less than half the pop. of Albany.
But Nashua would also be a primary area to look at health care jobs as well, so I'd say if you're serious about NH you'd probably want to start there, and then move to looking at the Manchester environs.
And in terms of looking beyond that, you'd really want to have to shift to something smaller.