You can use “find” command:

1)Find files based on data range

find /var/www/html/data/ -type f -newermt 2016-01-01 ! -newermt 2016-01-31

2)If confirm, move the files:

sudo sudo find /var/www/html/data/ -type f -newermt 2016-01-01 ! -newermt 2016-01-31 -exec mv -i {} /destination/dir/ \;