Hi Edward Linares,
I'm glad that you were able to resolve your issue and thank you for posting your solution so that others experiencing the same thing can easily reference this!
Since the Microsoft Q&A community has a policy that "The question author cannot accept their own answer. They can only accept answers by others ", I'll repost your solution in case you'd like to "Accept " the answer.
Issue:
Azure Moving Service Pland and its Web Apps to a new subscription
Solution:
I was able to move the resources by setting a short Resource Group name, but this is not in the Azure message error I just guessed it.
Please click Accept Answer and kindly upvote it so that other people who faces similar issue may get benefitted from it.