Work deals with finding apartments, but only by contacting estate agents, the lease is signed and paid by the employee. They're both next to "Skytteholm", apparently it's quite nice and not too far from either city center or airport?
Everyone has a different idea of a reasonable commute distance, but I'd say Skytteholm is pretty far — it's an hour by car to the city. Not sure what the public transport situation is like there.
For reference, Stockholm's suburbia is places like Hägersten.