Have a google for shop vac adapters or reducers.
Using your home vacuum may kill it - unless you DIY (or buy) a cyclone dust separator too.
I don't know the actual difference between a home vacuum or a work vacuum is, but I have a Titan wet & dry so I think its designed to be able to do this kind of thing.
Power, volume & filtering, I suppose. The Titan wet & dry looks more like a shop vac though.
@Hovis started
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Have a google for shop vac adapters or reducers.
Using your home vacuum may kill it - unless you DIY (or buy) a cyclone dust separator too.