Closing on first rental at end of month, wait another month before leasing?

[Pete B.]

I'm closing on my first rental property at the tail end of June.  I happen to be taking a week vacation at the same time, so if I work fast I could possibly lease it on the 1st of July.  The house needs new paint inside and out and laminate flooring in one bedroom, so nothing too major.  I plan on doing the work myself.

But the problem is I've never had any experience leasing properties, this will be my first.

 Would it be better to hustle to get somebody in on the 1st of July?  

Or let the house sit vacant through July and starting the lease August 1st, giving me a chance to take my time prepping  and compiling the right prospective tenants?