I have a cron job:
$SP_s/StartDailyS1.sh >$LP_s/MirrorLogS1.txt
Where SP_s is the path to the script and LP_s
Not sure why nobody mentioned this.
With CRON if you specify MAILTO= in the users crontab, STDOUT is already sent via mail.
Example
[temp]$ sudo crontab -u user1 -l
SHELL=/bin/bash
PATH=/sbin:/bin:/usr/sbin:/usr/bin
MAILTO=user1
# transfer order shipping file every 3 minutes past the quarter hour
3,19,33,48 * * * * /home/user1/.bin/trans.sh