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你家炒菜必粘锅
→ “Your home cooking always burns on the pot.”
你家 nǐ³ jiā¹ = your home — literally 'you + family/home'. Used to mean 'your place' or 'your household'.
你 nǐ³ = you.
家 jiā¹ = home/family. Can also mean 'to live at'.
炒菜 chǎo³ cài⁴ = stir-frying vegetables — a common Chinese cooking method. '炒' means 'to stir-fry', and '菜' means 'vegetables'.
炒 chǎo³ = to stir-fry — like tossing food in a pan quickly over high heat.
菜 cài⁴ = vegetables — any edible plant used in cooking.
必 bì⁴ = always/definitely — emphasizes that this is a guaranteed outcome, like 'without fail'.
粘锅 zhān¹ guō¹ = burns on the pot — literally 'sticks to the pot'. Used humorously to describe food that sticks and burns when cooked.
粘 zhān¹ = to stick — like glue or something stuck to a surface.
锅 guō¹ = pot/potpan — the cooking vessel used for stir-frying.