Credit Score Management

What is the minimum acceptable credit score when applying for a job where the employer checks your credit?

My company is closing here in California next May and I will be relocating to Austin in either mid-Aprl or May 1st of next year. I have been with my company for 23 years and am looking for a 4-6 month rental until I buy a home. My current credit score is honest-excellent due in part to a divorce a couple of years back. As I have never rented an apartment before, always a home, I am not familiar with the credit requirements, I have heard they are very stringent. If I would not qualify, any advice you might have to offer would be greatly appreciated.