Hello, I was in same scenario like you when I moved. After applying for online copy, I have contacted support via email ( customerservicedl@dps.texas.gov) and provided them with the FAX number from BC and they have faxed my drivers license record. It took almost 45 days for this process. I kept calling BC office, once they confirmed they got the fax , I went and got my license. Good Luck!
Here is the support link below
https://www.dps.texas.gov/DriverLicense/customer_service/Other.aspx.