«Ti» is the atonic or unstressed pronoun. It is used as an direct and an indirect object pronoun. You would use «te» when you want to make the «te» more salient, but not without a preposition: «Amo a te.» In my opinion, this sounds a bit weird, though.
I really cannot do this clitic section. Does not click with me at all :(
Everytime I see this I think of the song by Phoenix. If you're learning italian its a good album to listen to because they speak Italian in the songs!
In Italy they use the expression "vogliere bene" for relatives and friends. It literally translates to: to want well, but it means to love, as in 'ti voglio bene' = I love you. Amare us more romantic and is used for lovers