There are still some options to put a minimal amount down -- if you qualify for an FHA mortgage you may be able to put down as little as 3.5%. If I take your words literally though ("no money to put down"), it would be almost impossible for you to qualify for most mortgages. Perhaps you can work out something with the Owner -- if you purchase directly from him/her, perhaps they would be willing to finance the purchase in some manner. If you go down that road, be sure to have all the paperwork prepared by an attorney so your interests are protected.
If you are intererested in local Rentals, please contact me -- though keep in mind that in our area it is typically the Tenant who pays the Real Estate Commission (1 month's rent) and most Landlords require first month's rent in addition to 1 1/2 month's rent as a security deposit -- it definitely adds up. Your other option would be to find a rental on your own through the newspaper or some other online source.