I use a yard crane
Before that an engine crane
Both of thee are of course multi use tools so come handy for lifting all sorts of things where as a mower lift does one thin & one thing only
Also I can sling the mower from the front, back to do the hydro belt or sides
Most mower lifts can only lift the front and usually by the wheels which makes servicing the wheels a PIA
If you have exposed rafters, a convienent tree branch , first floor balcony with a strong railing then a plain old pulley block will do you well