You actually have several questions, as points of conversation. All in all, there is
no good news. You have stretched your electrical service to about its' limits now. Going any further will require at least an electrical upgrade. As a renter, you know how far that would go. Like others have said, relocation is the best answer.
Now, to your basic question. A "motor starter" is simply a
very large relay with the addition of a thermal protective circuit for the motor. I personally recommend a starter for some 3/4 HP motors that run a high(or continuous) duty cycle. That's both single and poly phase. At one(1) HP, that's
any motor. My personal opinion, now. There are 5 HP motors that run off a disconnect but I don't approve in the slightest. A fire just waiting to happen. A burnt motor at best.
Such devices are not sharable. One motor per starter. Period, non-negotiable.
There is
one possibility here. You state you have a
gas dryer. Look on the back wall for a "crowfoot" plug, behind or very near the dryer. If there is one, there is a source of 220-240 volts with 30 amp capacity. If it's there
... ... That's your only out, unless, of course, you don't need the kitchen range. With a teenager in the house, I won't go there. I have pulled such shenanigans in the past, at remote office locations. But won't recommend it.
Your second question is about rotary phase converters. The first question would be "
how many motors" will you run from it. If it's just the dust collector, no others, I have a suggestion for you. A rotary converter is simply a three (3) phase motor running with a few capacitors off of single phase power. Since the dust collector is run continuously, let it be its' own converter. That would cut down a
bit on power usage too. A converter is sorta thirsy. There are many web sites on doing 3 phase from single conversion. I used to have it on my web site and removed it for liability reasons. It is(was) a corporate site and the insurance folks reduced my rate when I removed it.
The bottom line here is that, unless you have a dryer plug or tap into the range, it ain't gonna happen. At best, you will only trip breakers.
At worst, the whole building will burn down. Don't go there. California has enough fires already. Dont start another.
Bill Hudson