Once again, thank you to all of you who replied. It is nice to be able to get such good ideas and info here.

I parked my rental car for euro 8 a day in a secured/covered parking garage near the Place du Nation. It is located beside the hotel Lux Picpus on Boulevard du Picpus. Tim

Good luck! I did see a "Smart" car (the tiny ones) parked in a spot so small the driver chose to park bumper to the curb, nose pointing out towards the lane. It barely fit (and only fit at all because it was so small) but I had to wonder if it was legal. The rest of the cars were all parallel parked properly. I did see some cars with boots while I was there. Can't imagine that's any fun!