You can direct the log output for a given logger to stderr as follows.  This defaults to stderr for output, but you can use sys.stdout instead if you prefer.
import logging
import sys
DEFAULT_LOGGER_NAME = 'default_logger'
def init_logging(logger_name=DEFAULT_LOGGER_NAME,
                 log_level=logging.DEBUG,
                 stream=None):
    # logging
    logger = logging.getLogger(logger_name)
    logger.setLevel(log_level)
    # create formatter
    formatter = logging.Formatter('%(asctime)s - %(name)s - %(levelname)s - %(message)s')
    # create console handler and set level to debug
    if stream is None:
        stream = sys.stderr
    ch = logging.StreamHandler(stream=stream)
    ch.setLevel(log_level)
    # add formatter to ch
    ch.setFormatter(formatter)
    # add ch to logger
    logger.addHandler(ch)
    return logger
This function needs to be called at the beginning of your program (e.g. beginning of main()).
Then within the code, you just need to call the following:
logger = logging.getLogger(LOGGER_NAME)