1. Start with the extractor hood filter, because grease falls downward
Clean top to bottom or you will redo the counters. The metal mesh filter above your hob is the greasiest object in the room and almost nobody touches it, which is why the whole kitchen slowly develops a tacky film that traps dust.
Slide the filters out — most unclip with a spring catch at the front. Fill the sink or a roasting tray with water as hot as the tap runs, add a generous squirt of dish soap and about a quarter cup of baking soda, and drop the filters in flat. The soap breaks the fat into droplets and the alkali saponifies the oldest baked layer. Leave them twenty minutes.
Then scrub with a stiff washing-up brush, working along the mesh channels rather than across them. Rinse with hot water and hold the filter up to a light: you should see daylight through every cell. Cells still blocked need a second soak rather than harder scrubbing, because bending the mesh ruins the fit.
While they drain, wipe the hood canopy itself with hot soapy water and a cloth, then dry it. Stainless steel needs a final pass in the direction of the grain with a barely damp cloth, otherwise you get streaks.
Do this quarterly. A blocked filter makes the extractor fan work harder, pulls less steam out of the room, and pushes more moisture onto your window frames.