Refinance Primary Home Affect My Next Loan to Buy and Move

Hi,

I refinanced my primary home last year (March 2019) to get cash out and buy an investment home which I did. The rate I got was 4.25 which was decent at that time. 

Would it be wise to refinance and get some more cash out and lower the rate? I was planning to move shortly and keep this and rentit out and buy another primary home however I am wondering if me getting a new refi would affect the new primary home loan? Does it affect my chances to get a good low rate esp. since my greatest concern is DTI and how the new loan would affect that.

Thanks in advance for any insights!