No you don't have to have a Real Estate License to Sell or Rent out your property. You can hire a Realtor to manage this for you. Typically, a Realtor will charge an amount equal to one month rent for their services.
A realtor will advertise your listing, screen potential applicants, run a credit background and criminal background check, provide the lease documentation and collect the deposit and 1st months rent. Some will offer to manage the property during the lease as well.