You can have your potential tenant run their own credit report and submit it with their application. Just make sure it does not look altered. Ask them to email you a copy that they can get for free on any of the credit reporting agencies web sites.
There are numerous web sites that you can pay a fee to run a credit check. They will require proof that you own a rental property (tax bills, utility bills, public records, etc) and may require signed permission from the prospective tenant along with their ss#, current address, date of birth and possibly more depending on who you use. This is a company I have used for years