Thanks for the advice, but I should stress:
-We use a bagless vacuum, and have thoroughly cleaned it twice.
-Bichons don't shed hair (though I realize that like all dogs
they shed skin flakes, etc.). They're known as a great breed
for people with allergies.
-The Hoover blows dust.
-We've tried a baking-soda based deodorizer, but it didn't
really work.
-There is no dog smell in the house--this just occurs on
vacuuming.

Any more suggestions on a new vacuum, or how to stop this
smell when we vac?