When To Find Renters After Buying A Property

[Thomas Dunsmore]

My wife and I are in the process of purchasing our first investment property in San Antonio which is a duplex. 

Currently the property is vacant, and we are set to close on the 10th of May. Can we start advertising that the property is available so that we can limit the amount of time both units are vacant? 

We were curious what others have done when purchasing a property that is vacant and wanting to fill the home with tenants as soon as possible. 

Thank you all!