Here's a patch that replaces all the debuglevel stuff with logging. There's a single module-level logger that handles it all.
I wasn't sure if it would be okay to break API compatibility, so I kept the debuglevel flag and the set_debuglevel() method even though they don't do anything.
Most of the information that was being print()ed is still there, but I cleaned it up a little and added a few more messages.
The INFO level messages are pretty sparse, with DEBUG providing a lot more raw data from the request.