I think we can help with this. Looks like they're alternatively referred to as "patient lift", "patient hoist", "sling lift", etc.
I'm seeing the mobile type of lifts, and the overhead crane type. The mobile ones look extremely similar to your standard shop crane, but finished in white, a comfy sling added, and with the price significantly "enhanced". The crane types look like either a bridge crane, or a gantry crane.
Do you have a preference between the mobile lift, bridge-type lift, or gantry-type lift?