Alex, everyone has his/her own position on this, in large part based on their particular market.
I don't find the newspaper to be a good investment. Others do.
I used to advertise in the local "throw-away" papers -- the Recycler, the Nifty Nickel, and other classified ads papers. I still do, but less than I used to.
Many on here use Craig's List. I don't. Except for units near the college, my target market isn't very computer savvy.
I mentioned "units near the college." Fliers on bulletin boards in the school and in college hangouts, and ads in the college newspaper, and listings with the student housing office are all I need to do for those units.
My major advertising are yard signs, directional signs in the neighborhood and large banners on the property.
I also pay a referral fee to my tenants, my former tenants and a couple of hustlers (one is a property manager at a large apt complex, who refers SFR seekers to me)for successful referrals. I love to give a couple hundred bucks to a good tenant for referring a friend because those often work out well. I find that a responsible tenant's friend will often be a responsible tenant. Flakes tend to hang out with other flakes, and responsible people tend to spend time with other responsible people.
You need to learn what works for you in your market.
--216.175.xx.xxx