The options for popen can be used in call
args, 
bufsize=0, 
executable=None, 
stdin=None, 
stdout=None, 
stderr=None, 
preexec_fn=None, 
close_fds=False, 
shell=False, 
cwd=None, 
env=None, 
universal_newlines=False, 
startupinfo=None, 
creationflags=0
So...
myoutput = open('somefile.txt', 'w')
subprocess.call(["/home/myuser/run.sh", "/tmp/ad_xml",  "/tmp/video_xml"], stdout=myoutput)
Then you can do what you want with myoutput
Also, you can do something closer to a piped output like this.
dmesg | grep hda
would be:
p1 = Popen(["dmesg"], stdout=PIPE)
p2 = Popen(["grep", "hda"], stdin=p1.stdout, stdout=PIPE)
output = p2.communicate()[0]
There's plenty of lovely, useful info on the python manual page.