I'm gonna second Ignator's suggestion, Graham... if you're gonna VFD, just go straight to VFD on each machine. Keep your RPC in operation, but VFD the machines in stages... start with the machine you use the most, get it converted, then move to the next.
As Ign mentions, having intimate speed control means you have soft start, by virtue of just ramping-it-up-slowly. You can get some amazing performance out of smaller motors using a little drive reduction combined with overspeed...
But one of the biggest bonuses... especially with woodworking machines... is dynamic braking. When you hit the STOP button, you can bring a howling blade to dead-stop right quick... and that's a feature that is REALLY hard to beat.
As Ign alluded, running a VFD off single-phase requires a little investigation and thinking. Many VFDs are designed to run on single phase, and while not 'advertised, will identify it accordingly in their ratings. Some WILL run on, but are not designed or 'advertised' as single-phase capable... and some machines simply won't run on single at all. In the case of any VFD not rated for, it is always best to use a larger VFD than needed, so that the VFD doesn't expire due to having it's input power focused on just two of the three legs of the input rectifier. As an example, if you've got a VFD that will run on, but is not 'rated for' single phase input, and you're running a 5hp motor, use a 7.5hp VFD.
If you'd still rather run the RPC, you COULD use the 'self starting' arrangement in the Fitch Williams design (starting capacitors), but you WILL still have high inrush current.
One way you COULD do it... is to liberate a treadmill of it's permanent magnet DC motor... they're usually 90-140v range. Couple it to your idler, and use a light dimmer feeding a bridge rectifier, feeding the motor. With the current dialed down about halfway on the dimmer, it'll bring the idler up really slow.
The 'gotcha', is that if your electrical service doesn't tolerate the inrush of starting an RPC idler, it's probably not gonna be happy pulling the RPC's current demand once you throw the switch on a big power tool...