We used Babies Away last August while staying at the GCH. We are using them again in a few weeks at the GCH. Items were waiting at the Bell Desk when we checked in, in great condition and clean and when we checked out we left the items at the Bell Desk and that was it! We rented a high chair, exersaucer, etc. They seems to have a nice selection of items and reasonable prices. If you are looking for strollers they have multiple choices. It was so easy and went smoothly, I am hoping this next order will be the same!
I got the Babies Away recommendation from the conceirge (sorry spelling) at the GCH. They also had the name of the company you referred to as well.