what are some ways to advertise or market a cleaning service?

[copydude]

You've got to have a compelling sales message. Flyers by themselves won't work. But a well-written flyer might work.

Ultimately, you'll want referrals and try to expand out in a geographic area that you define. Of course, you'll need to get clients first.

Money Mailer or Val-Pak might be a good place to advertise. But, again, you need to have a compelling sales message for any kind of advertising you undertake -- whether that's flyers, coupon mailers, postcards, etc.