i haven't used suction cups, but several strong people is usually how i've moved tanks. i had a 160 oceanic that weighed about as much as a collapsed star, we were able to move it with 3 people.
suction cups and lifting straps are icing on the cake and would have made life a lot easier. given the chance to do it over again i probably would have conscripted at least one more person.
we have to bring the tank out a basement and in to a van, then out of the van, up 5 steps, and in to the dining room and on the stand. it was rough, but we got it done.