In BioEdit you export the alignment as MSF: Menu-bar> File> Export> Export alignment
You chose MSF format and give a file on the desktop.
Now you can take advantage of Drag'n Drop of Jalview:
You drag the file that you had just exported directly into the Jalview application frame.
The alignment will appear.
This method does not import sequence features.
Do you have sequence features created in BioEdit?
It may also not import Uniprot accession IDs if any.
Personally, I find Jalview easier to use than BioEdit. What is your opinion?