Look for homes, condos, or apartments that are currently occupied, but have tenants moving out just before your move-in date. Pretty much all landlords will not hold a property vacant for someone longer than 30 days. A good place to start would be with some property managers and apartment complexes to see what places they MAY be having available around that date. The issue is, landlords might not know if the tenants will be vacating at the end of their lease yet. Most landlords only require a 1 month notice to not renew the lease.
Best of luck!