Slip your hands into a pair of socks for cleaning the miniblinds. Dip one hand into a bucket of warm, soapy water and hold the blinds between your two hands. Rub back and forth until you've cleaned the whole surface. Then reverse sides so the dry sock dries the blinds.
Wipe miniblinds with damp fabric softener sheets to eliminate static that collects dust. The same trick works for your T.V. screen.

Take the blind down and take it outside.
Lay it on an old blanket preferably on a slanted area of the yard.
Let the blind out all the way and make sure all the louvers are flat.
Mix up a bucket of all-purpose cleaner or ammonia solution.
Scrub with a soft brush then turn it over to do the back side.
By now the blanket is wet and is helping to clean the blind and protecting it.
Hang the blind on a clothesline and hose it off.
Gentle shaking will help it begin to drip dry.