I would like to move incoming emails to specified folders
automatically.  There doesn't seem to be a simple way to set "rules"
in the mail application.  I also looked at the Automator which doesn't
seem to supply a simple method either.  I would be happy if either
application did it.

Hmm, Mail certainly has that capability. Have you looked under Mail
Preferences > Rules ?

I receive hundreds of emails a day from about 10 different Apple
Developer mailing lists, and I have rules set up to automatically
route the "carbon-developer" emails all to the "carbon-developer"
folder I created, and so on, for each list.

If you've already created the folder you want the email to go into,
just go to your inbox and select a message you'd like to "auto-route".
Open Preferences in Mail and switch to the Rules pane. Click Add Rule
and then you can edit what it is about the specific email you just
selected that you'd like to look for in order to automatically route
the message to a particular folder (or mailbox). You just need to
figure out what the messages have in common, like the sender,
something in the Subject, etc.

Hope this helps....

The previous post is correct.

You can go into the Mail Preferences --> Rules to set up this action. 
It will move all incoming mail into specific folders that you can
choose based on specific properties of the incoming Email.