Glazing requires a lot attention to detail, and some of those details can be quite small. My neighbor, who is a dental hygienist, was kind enough to give me a set of her old dental tools. I use them to scrape bits of dry glaze out of tight spaces that a sponge can't reach.
Even if you use the dip method for glazing you will need an assortment of soft bristled brushes for touch-ups. In general I prefer to use natural bristles, none of the synthetic brushes I've tried seem to hold enough glaze to do the job right.
"Where's that ladle?" My poor husband, is always wondering what happened to some ladle, slotted spoon, turkey baster, or other kitchen utensil. There are a ton of great tools sitting in your kitchen too - just remember, once a utensil has been used in the studio it should never be used with food again. (Hint: A restaurant supply store is a great source for tools)
My most recent discovery is using a mascara brush to clean the glaze out of small holes like those on the jewelry bowls above. It prevents the glaze from permanently covering the hole during the glaze firing. (If this happens to you, it can be fixed with the right drill bit - I just really like preventing the problem in the first place.) To use the mascara brush dip it in water, then push it through the hole and pull it out again. Repeat until the hole is clean. Use an appropriate dust mask when doing this, as bits of dry glaze may go flying off the brush bristles.
Its important to follow safety practices when working with glazes. You can find some great information about safe practices in the studio on a number of sites, (for example http://pottery.about.com/od/thepottersspace/tp/safety.htm or http://www.claytimes.com/reference-guide/health-safety.html).