Your future Landlord will look at your payment history that shows you make your payments on time. They will get to see you in a nutshell. The credit report is a look into your financial history. I look at everything when I review a tenant for a property. If there are questions I will ask for an explanation. You should go through you credit report and dispute any issues that are not correct. It is rally not that hard to do. There is a great deal of information on the internet to help you. I hope I have helped.
Landlords want to see great credit scores, no defaults judgements, or late payments. If any of these appear on your credit report, be sure to have an explaination of each as many times the landlord will ask for this. Good luck with your rental search!