There are so many quests between those levels, as long as you did all the previous quests... Everytime you go in the Waking sand there is a quest giver who leads to a zone that provides like 9 - 12 quests. In addition to this there are other quests in the later places and Leve quests you can run.

Grind Fates in a group for full points always..

Or run dungeons to get gear/exp for easier leveling as well... Especially once you hit 40 as they start dropping tomes which is something you will need to farm anyway.

Have fun in Eorzea.