These are also known as car rollers. When I was involved in Morris Minors, they were commonly used by restorers to roll the car through 90 degrees when major floor pan and cross member repairs were undertaken. One company, ‘Mr Grumpys Morrris Minors’, retailed them. This model was bolted to the wheel hubs to support the vehicle and maintain alignment. Looking on line car rollers are still available (with mentions of bumper mounts as suitable connection points - really for older classic cars I suspect) but as mentioned the choice of connection point is going to be unique to the vehicle being repaired, specifically the work required and the the corroded sections of the chassis.
When a friend and I spent a week welding up a Morris Minor cabriolet, we simply rolled it on each side onto an old mattress - work amazingly well:-)
The Morris wheel arches resembled an armadillo when we had finished. This work would have been a nightmare without turning the car 90 degrees.
I would advise the original poster to get the welding repairs assessed before getting into the complexities of a car roller. Sill repairs should be possible without issue with the car in normal position. I would suggest that front chassis rail welding would also be as easy with the car elevated in normal position.
On the original Mini there was a hole in the bulkhead where the speedo lives, and up behind the rear seat another corresponding hole. A scaffold pole with a couple of wooden hubs shaped to fit the holes provides a reasonably well balanced pivot. I know of a couple of very early Minis that have been stripped back to the shell and completely restored this way including all the welding, priming, painting and under-sealing, but have not done it myself.
Here is one of them, resprayed with the original paint colour, and not dressed up as some have been. Apparently all the bright-work and glass is original too, apart from the headlights. It has been owned by the same family since it was about a year old.