I take my '87 to Cottage Road Service Center in South Portland. They're not specifically a Land Cruiser shop or anything but they've got a few guys who have been around for a while and know old trucks and I've seen a few FJ62s in their parking lot. I've occasionally had to source parts myself and drop them off to them, though. The Toyota dealership in Portland can get you in-stock parts sometimes but don't count on them for much.
There's also Cruiser Solutions in New Hampshire if you really need a Cruiser specific shop, but I have no first hand experience with them.
Ultimately you're better off doing as much as you can yourself at home to save a ton of time and money.