Linux utility / shell script

I need a linux utility using bash script to list or find specific files from a directory A and move theese specific files to a directory B and write file that are moved to a file called AFILE. If files are not found in directory A then write a log info telling fikes not found to anotger file BFILE . And also to delete any files older than 10 days from B (use tge utility logrotate) it needs to be completed in 2 hours