I agree with everyone else, don't use duct tape. It surely will leave a mess on your quilt & carpet.
If your apartment doesn't have a community room, there's lots of places that do. Library, churches, county extension agent. Any place that's big enough for meetings will have tables and space. Plus this saves your back. If I had to sandwich my quilts on the floor, it would NEVER happen.
**You might see if there's quilting groups in your area. They would be a big help. My group meets in at a local beer distributorship (they have a free meeting room). When anyone brings a quilt to be sandwiched, everyone jumps in to help. They're put together in no time.
Good luck and welcome to retirement!
