How would you imagine that using a t/m would overcome slipping on a stair or similar ?
Moving heavy hoses is no easier than walking a machine downstairs and the suggestion that you use a rotary for flats is not only a heck of a lot less expensive but less wearing on the body.
There is also the other option of using a small, compact extraction machine for flats, I don't mean a lightweight like the Puzzi or similar. There are a few small but powerful machines available perfectly capable of doing an excellent job and your investment would be returned a couple of weeks rather than a couple of years if you went t/m.