Hi there i use a spray cleaner and wipe with a duster

Vacuum them or take them outside & brush with a soft brush.The wipe with warm soapy water using either a cloth or a soft brush depending on how dirty they are.Leave to dry naturally of dry with a hairdryer on a cool setting.

use the spray dusters that are designed for wood surfaces.

Cotton buds soaked in vinegar?

If it is warm enough you can take the whole thing outside and scrub with dertegent and then hose down; leaving to dry in the sun.

Remove crusts from a loaf of soft white bread. Squeeze the bread gently and roll into a ball, rub the wicker - it will pick up the grime.

Make a solution of dish soap and hot water (just a squeeze of dish soap in a bucket with a gallon of hot water). Use a soft paint brush dipped in the solution to brush the wicker clean. You can rinse it with a hose, but wicker is very susceptible to water and you'll want to make sure the baskets dry quickly. Otherwise you'll have weakened baskets that are prone to mildew. So be sure it's a very sunny day before you do them or use a heat lamp or hair dryer to dry them completely.

i use a paint brush . i spray the brush with some furniture polish then just flick the brush over its quick and easy