The wife's got a sticking door handle on her car. Door lock works fine etc, just the handle stays sticking out when you pull on it from the outside. Is lithium grease the best lube for this kind of situation? Or is there a better product around?

Thanks all.
 Black MY2013 SD4 GS Auto, Wood Company Armrest, Freel2 sticker.
Gone MY2010 Freelander 2 Manual TD4.e S, Alaska White.