'A place' means to please. When someone wants to say they like someone/thing, they say "îmi place de el" . This means something along the lines of "he/it is pleasing to me".
"dacă îți place", then, is what you thought: "if it pleases you"
For students of English, a tallboy is a (tall!) chest of drawers often with a wardrobe on top. Boy comes from the French bois (wood).
And cupboard love means feigned childish affection when you want to get something!