How do I clean grease from my kitchen ceiling?

Vonny, you probably want to scrub that ceiling with TSP first and rinse. It will (literally) be a pain in the neck, but that should give you a clean surface for painting. If there are any spots that won't clean, cover with some Kilz. Latex semi-gloss tends to be a little easier to clean, but it has an unsettling, glaring effect when used on ceilings. I recommend using ceiling white paint. It is a special white with optic brighteners that enhances the light in a room without causing glare.

I love a product like Krud Kutter. It really cuts through grease. You can also use a water based tsp before you paint and that will help to clean and prep the surface for the paint. Good luck.

TSP is my go to for a job like this. A bit of work, but will be much easier to clean ceilings regularly after you prime and paint.

Tsp or Krud Kutter. Scrape off any peeling paint. Sand and feather the edges with 220 grit sand paper. Prime with Kilz primer then paint. Laura is correct. Use a ceiling paint.

Use a really good primer like Kills. https://www.lowes.com/pd/kilz-original-interior-multi-purpose-oil-based-wall-and-ceiling-primer-actual-net-contents-32-oz/50253813?cm_mmc=shp-_-c-_-prd-_-pnt-_-google-_-lia-_-117-_-primers-_-50253813-_-0&kpid&store_code=1859&k_clickID=go_625682584_34615001110_111134763790_pla-258467105646_c_1019250&gclid=EAIaIQobChMI3Jvchsrd4QIVV7bACh2KwwmTEAQYASABEgKJn_D_BwE

Vinegar will cut through the grease.

I thank everyone for their answers