World of Hyatt recently released a list of various participating Alila hotel properties and the dates when World of Hyatt members can begin earning and redeeming points and enjoying loyalty benefits.
Destination Hotels are a little closer to home (i.e., the United States). Beginning August 20, 2019, World of Hyatt members will be able to earn and redeem points and enjoy valuable loyalty benefits at some participating Destination locations throughout the U.S.
List and Dates for integration can be found here: Hyatt New Brands.
The Destination Delivers loyalty program will come to an end at the time of the above transition to World of Hyatt. Destination Delivers members can still redeem their benefits at participating Destination properties for qualifying stays booked before July 9, 2019 and for those booked and completed July 9 through August 19, 2019.
I am informed that World of Hyatt will be bringing more Destination locations into the program later this year.