Joyce,
I have the floor frame like your lap frame. The workmanship is wonderful. I have never tried a lap frame but I do have a problem with my floor frame. It has a pole with legs that hold the hoop suspended from the side. Where I run into a problem is when I am working on a bed size quilt like the one I currently had on it the bulk gets caught up in the area between the hoop and the post supporting it. So far I have not ripped the quilt in trying to move it but I can see it happening.
Someone commented on having to rehoop often with a smaller frame. I make the most of the situation by having multiple needles going until I have filled up all of the hooped space with stitches. Because the hoop rotates that is easy to do. When you rehoop you can continue all of those rows of stitching etc. I also have learned to quilt with both hands in both directions. That also speeds up the process and saves some wear and tear on my dominate hand.
Have fun with your new hoop.