I am pretty fanatical about dusting my speaker drivers. My home can get dusty, and I don't always have time, or the HEPA to deal with it. But I do keep it out of and off of my electronics. In the trades, I always keep a dust brush in my tool kit. Especially when I was doing interior remodels and had to keep cleaning as I went. This usually consisted of a worn paint brush from 4-6". The bristles were finer and worked efficiently for dustier messes. An old paint brush and a drywall joint knife as a dust pan worked perfectly.
Went looking for "dust brushes" online and it came up with a lot of things that are for designer dust, it seems. Not the old fashioned kind like I deal with on most days. When I can't find what I need, I always end up looking what the girls are hiding. Why? They have the coolest tools. Their makeup brushes make some of the best dusting tools on the planet. I bought an assortment pack for my speakers and electronics and anything else I tend to tinker with.
These get into the grooves of the surrounds and everywhere else and gentle as can be. The smaller ones can detail around any screens and other built in tweeter grilles and whatnot as well. Just can't let my GF see these because she will nab at least some of them. They act weird when we use girl tools for guy things, like we're not really supposed to have them. lol