A friend of mine was a ferry pilot for the airlines. But essentially, a crew flies the plane out to its storage destination, and there is usually transport arranged out for them - either a bus, or a smaller corporate jet or even a piston engine a/c would be flown out with them to carry them back home or to their next deployment location.

As for them returning to service, yes, you guessed right - they have to be checked while still on the ground by a maintenance team, then if they have been there for a while, they have to be flown to a maintenance base for fairly extensive servicing before they can be declared airworthy enough to carry passengers again.

With luck, this airport probably has a service hangar capable of handling these aircraft types and make them airworthy again, so I expect that the airline might find it more economical to ship an entire maintenance team with spare parts to be based out of here for a month or so while they get their planes back in the air.