You should not be copying over your FTM files directly. The safest method is to back up your tree (which will create a .FTMB file), then copy that file to the new computer and restore it. The tree & all associated media files will then be put in the proper place automatically.
http://ftm.custhelp.com/app/answers/detail/a_id/4378/
http://ftm.custhelp.com/app/answers/detail/a_id/4379/
http://ftm.custhelp.com/app/answers/detail/a_id/4378/
http://ftm.custhelp.com/app/answers/detail/a_id/4379/