Get an appliance dolly or something that has a set of stair climbing rollers. Don't bother with the cheaper handcarts that don't - it won't pay off.
Try to get one in aluminum instead of steel. I have one in steel and its heavy. But it does help.
Escaleras cost 2x-3x what a pinball does. That said, they are fantastic. I bought a pin from someone who had one, and it was an absolute breeze to get the game out of his basement and around corners.
If you have large landings between floors, I would carry the game with the legs on up and down the stairs with a friend, if possible. I've found that to be not too bad. Especially if the head comes off.
Or hire somebody. I bet if you looked around you could hire people to move a pin into or out of your apartment for $50.
The best thing to do is to go to the gym and get buff.