Don't put off three phase machines in your search, I wouldn't want a single phase one as
I'm running my machines on a household 13a plug, a 24 inch bandsaw, and a startrite 275.
I wouldn't be able to start these machines without tripping fuses with single phase, as the startup current is what blows fuses.
I use a VFD, or an inverter for these machines. (a wee, user friendly, smart box of capacitors)
Easy peasy for to hook one up, and for 3HP is only a hundred quid, customisable to suit your
particular situation as you can add more time, say 2 more seconds to ramp up motor to speed.
Check the motor (not machine) nameplate for 240v,
and you will be able to hook a VFD to it, give it no thought if you happen to find the right machine!
you will thank your lucky stars.
Plenty of threads here and folks to help you every step of the way
Good luck whichever type of machine you get
Tom