The mobile hoist doesn't have to go through doorways - it would just stay in one room, e.g. the bedroom. The person is hoisted, say, to a wheelchair, then wheeled to another room, wheeled back and hoisted again.
In my mother's case, she has her bed downstairs and everything took place in one room - so the wheeled commode was near her bed and could be moved into position as could the hoist. You need to make sure the room is clear of obstacles such as furniture as the hoist has long wide legs which need to spread around the chair the person is being moved into. It is also best to have smooth flooring - we have the type of carpeting which is used in care homes. We needed to replace the old one anyway so I bought a suitable one. However, my Mum was only hoisted for about a year when she became totally bedbound and it wasn't suitable to move her as she couldn't sit up properly on the commode or chair.
You will need quite a large space to place the hoist - its legs are about 3 feet long.
Hope this helps.