I got a cheap set of radio-controlled switches from Maplins (whom I hesitate to recommend these days, because of the prices!). I just carry the controller in a pocket and use it for the vacuum.
It means separate fuses, and that the load is well within the rating of the relay in the remote-operated switch. Yes, it is _slightly_ less convenient than automatic turn on/off, but there are no electrical issues and I'm not expecting any (after about two years of use).
One of my round-tuit-powered projects is to take one of the spare receivers (the kit came with four) and to build it into the chip extractor, instead of the NVR switch. Happily, that's also within spec for the built-in relay (of the RF switch), but even if it wasn't, it's OK to cascade mains relays to get the required current switching ability, as long as you suppress the spark properly.
The only drawback is that Maplins don't sell spare controllers (the radio transmitter with the buttons on it). It's the most vulnerable part, and the hardest to repair if damaged. I guess they know this!
Regards,
E.