It is my experience that you really can't go wrong with jojoba oil. It is extremely light. As such, it does not weigh your hair down.
In terms of other oils to apply to your ends, I would also suggest avocado oil. It is heavier relative to jojoba oil--but it does add a nice shine to the ends.
Coconut oil is good also. My only gripe with my coconut oil is that its in a solid form and so it requires a little manipulation to get it to melt.
I don't use carrot oil or shea butter but I am sure someone will chime in with more information about these oils and others.
HTH
Elliot