I use a Dremel with a diamond cut-off wheel for the housing. No need to dress the cut on a grinder afterwards!
Whatever method you use to cut the housings, make sure you have a clean 90° cut - either in the initial cut or whether you end up dressing it on a grinder - otherwise your brakes will be 'mushy' as the slop gets taken up.
I always leave the inner cable a bit long - so that when everything is adjusted, I can either solder the inner at the appropriate length and then cut it through the soldered part - or in the case of slick stainless inner wires, use a crimp-end.
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'75 Fuji S-10S bought new, 52k+ miles and still going!
'84 Univega Gran Tourismo
'84 Univega Viva Sport
'86 Miyata 710
'90 Schwinn Woodlands
Unknown brand MTB of questionable lineage aka 'Mutt Trail Bike'
Plus or minus a few others from time-to-time