To copy your files from beddie to teddie the scp command is recommended.
To copy all your home dir files from beddie onto teddie
on teddie you can run

scp -pr %BeddieUserName%@beddie:/home/%BeddieUserName%/* /home/%TeddieUserName%/

Where %BeddieUserName% is your old beddie username and
%TeddieUserName% is your new teddie name.

this will copy all files in your homedir to teddie over ssh including folders and preserve the file permissions.