Judging by your question, you're not hard over on using pgrep and pkill, so here are some other options commonly used.
1) Use killproc from /etc/init.d/functions or /lib/lsb/init-functions (which ever is appropriate for your distribution and version of linux). If you're writing a service script, you may already be including this file if you used one of the other services as an example.
Usage: killproc [-p pidfile] [ -d delay] {program} [-signal]
The main advantage to using this is that it sends SIGTERM, waits to see if the process terminates and sends SIGKILL only if necessary.
2) You can also use the secret sauce of killproc, which is to find the process ids to kill using pidof which has a -o option for excluding a particular process. The argument for -o could be $$, the current process id, or %PPID, which is a special variable that pidof interprets as the script calling pidof. Finally if the daemon is a script, you'll need the -x so your trying to kill the script by it's name rather than killing bash or python.
for pid in $(pidof -o %PPID -x progd); do kill -TERM $pid done
You can see an example of this in the article Bash: How to check if your script is already running