There is no problem with streams after migration.
Before migrating,I would suggest you to make sure all stream processes are stopped and everything from buffered queues are replicated to target.
1. There should not be any messages in buffered queue
2. At the time of migration, there should not be any transaction in source db
3. Capture, Propagation and Apply should be stopped before migration in specified order.
4. After migration, Apply, propagation and Capture should be start in specified order
5. Apply error queue should be empty before migration