I operate games and have been asked about this a lot. I posted something similar on Reddit earlier today, as this subject came up there as well.
My quote is $250 a month, minimum of 3 months.
I wish it could be cheaper, or have a shorter minimum, but it's just impossible for me. It's probably 3 hours of moving to: break down a game, load it, drive to you, unload, set up, and drive back home. Then that needs to happen again when the rental is over. 6 hours of moving, regardless of the length of the rental period.
Imagine a one month rental for $300. I tried to find someone to move games for $50 an hour and had zero takers. If I had found someone, I'd be making nothing on a one month rental. Yes, I could do the move myself and make $50 an hour, but honestly, moving machines should probably be like a $75-$100 an hour job. It requires specialized equipment: a truck or something that can load a pinball machine, multiple dollies, straps. It requires height & strength if you're moving solo. And it's stressful: one wrong move and you can damage the game, the building you're moving into or out of, and yourself (I mean, to be honest...death is possible if the mistake involves stairs and a person on the wrong side of the machine).
Imagine a two month rental for $300 a month. You lose the first $300 in moving expenses, and if you have to do a single service call in those two months, you're down to making about $150 to have your $5000 machine in a strangers house for 60 days.
And even with something like a 3 month minimum, your customers are probably going to get bored of a single, unchanging game day after day after day.
It's too bad the economics don't really work out on this. The amount you need to charge to barely make it worth your while is an amount that's viewed as unfairly high by your potential customers.
TL;DR moving pinball machines sucks so bad that it changes the entire economics of this into something that almost isn't worth it for either side.