On the assembly line, the Perkins V8 engines (circa 800 Kg complete), on their assembly stands were rotated on the steel plate base by connecting an air line with regulated pressure. Once rotated, the line was disconnected, and everything was rock solid again.
The air lifted the engine stand, and provided effectively frictionless movement. hence the need to ensure the ability to stop the movement.
(Think air bearings for precision grinding machines)
For linear movement, it would be better to apply the hovercraft principle, and as already said, have an inflatabl e skirt.
Simple calculation:
Measure Weight of press and base, and Area of base. Then calculate the pressure required to be applied to that area to support the weight. With a large area, a low pressure will provide a large force to "float" the load.
Example: Load 500 lbs, Area 1,000 in^2 : Pressure required for equilibrium = 0.5 psi
Howard