It's "buzzems" in Geordie, "besoms" in Scots.

DT has the Scots version. MacColl well sings it. (I do too.)

When we lived in Scotland - to 1975, besom brooms (or broom brooms) were still used by street sweepers & I think I heard a couple of years ago they still were. But they're far better suited to rough surfaces - not much good on linoleum, so housewives don't use them now.

We did hear some street vendors' calls but never for broom.