A two door TH that will load one machine from the side.
Or a sideways wheeled or skid platform you load the cross Cat on then push it in and pull it out with the longways Cat.
Goerge3097 is correct - stock dimensions show the machine will measure just over 8ft diagonally so it won’t want to rotate inside an 8ft wide space unless you lift one end. Swear words would be required.
Possibly a floor jack in the middle and turning the front wheels the machine might be turned sideways inside? Be worth a try.
Edit OP you posted while I was typing :)
Roller skate tire platforms?