You're talking about a 4 post lift, right?
The place I bought came with a 2 post Rotary model. Great to 'work on' cars. Not so great for storage.
I have been looking at a 4 post lift for storage though. Bendpak makes good ones - that I have been told.
I have a shop near me that I may use for when I get mine though - they run specials fairly often and are close - so delivery and set up / installation are easy....
See
https://topsecretequipment.com/index...s/4-post-lifts
Sounds like a standard 4 post lift would work for you....
YMMV of course - good luck and have fun...