You should look closer at the nature of the machine first, often 3 phase is required for different reasons, if you just have a 3 phase spindle motor, you could look at fitting a VFD just for this, in the majority of cases, the controller and sometimes servo's run off 1 phase, even when 3 phase is supplied to the machine.
With that small a machine I suspect that you may be in the position I outlined.
Therefore the spindle could be fed from 240v VFD and the control be fed from 120 or 240v 1 phase direct from the service supply as required.
The majority of N.A. residences have 240vac supplied (2x120).
Your stove and drier will probably be hooked up to 240v.
If you are setting up a workshop, it may be worth looking at getting a 50amp or 100amp supply or socket installed.
For the size of machine you quote, a VFD can be used with 240v 1 phase and produce 3 phase for the spindle motor, this also gives you the option of variable speed if you choose.
Al.
CNC, Mechatronics Integration and Custom Machine Design
“Logic will get you from A to B. Imagination will take you everywhere.”
Albert E.