If you already have your Flight Master's Whistle from Legion, these quests will upgrade your whistle to work in Kul Tiras and Zandalar. This will also award the handy teleport item Flight Master's Whistle. At level 50 after completing the unlock requirements, world quests appear in all Battle for Azeroth zones: Tiragarde Sound, Drustvar, Stormsong Valley, Zuldazar, Nazmir, Vol'dun.
Note: If you haven't picked up your Heart of Azeroth yet, you will need to complete the short questline to do so first - beginning with an Earthen Guardian (Kul Tiras) / Earthen Guardian (Zandalar). If you already have unlocked World Quests on a 50 character before, future alts can simply talk to the respective NPCs to unlock world quests, although you do want to have at least 1 outpost unlocked on the opposite faction's continent to have access to their world quests. Track your progress in the Battle for Azeroth Attunement Tracker.
World Quests in Battle for Azeroth are content designed to be an improvement over daily quests.