I got hold of a Hilti wall chaser, and connected it to my Henry hoover (Buying a 3m hose, and cutting the attachment end off).
It does create some dust, but sealing each room up as I worked on it was quite successful.
I then used an Armeg chasing chisel to quickly remove the channel, and used it to finish up to the ceiling or down to the floor, where the chaser didn't quite make it.
I got the Hilti chaser for £50, so bargain of the year. Hilti also do a very good vacuum that connects, and has a feature where it 'nags' the bag every few seconds so it doesn't clog. You would do well to hire both of these for a few days, and chase out everything. Buy 2x of the Armet chasing chisels, as I did manage to make one break after a lot of abuse. They can be re-sharpened with a metal grinding disc in a disc cutter,
I would never, ever go back to using a standard grinder with diamond disc, the dust is horrendous, and you are sneezing it out for 2 days. And it sticks to the wall, ceiling, everything. After 2 minutes of cutting you cannot see what you are doing anyway!