You will have to factory reset the Zigbee devices before they will pair to a new hub.
Z-wave devices have to be excluded before they can be included in a new hub. You can do the exclude process from the Hubitat. It is a similar process to including. I believe the exclude process is one at a time like the include process. This is peculiar to Z-wave not HE. The HE (Hubitat Elevation) hub should tell you once it has excluded the device. Then you can include it.
Here is some good information to help you get a good start on your Z-wave network.
Moving to a new hub is a tedious process. Be patient and take your time. If I were you , I would keep my Wink up and running while you make the transition. this will give you at least partial functionality until you finish. Gradually remove a device from Wink then add it to HE.
I came to HE from a SmartThings hub. It was well worth the move. If you encounter any other issues, come back to the community and ask. We will be glad to help.
BTW, sensors and locks can be some of the more cantankerous devices to move. Do them as late in the process as you can.
