"un petit verre" is a small glass.
un petit verre ? = fancy a drink?
un petit oiseau is 'a small bird' in French.
"un petit bisou pour toi" means "a kiss for you" in French.
"Moi, un petit peu" means "me/I, a little bit/a few"
A small gift, a present.
It could mean - yes, a little (in answer to a negative question)
j'ai pris un bon petit déjeuner means 'I had a good (substantial) breakfast'
"a small word for ..."
petite enfant (peh-teet an-fant) un petit bébé, un nourrisson, un nouveau-né
Un petit peu (de) or even Un très petit peu.
A small hat (it should be - un petit chapeau)
"il a un petit nez"
It does not mean anything because the right spelling would be "je parle un petit peu français". In that latter case, it would mean "I speak very little French".