Just looking at Zillow I’m having a hard time making the numbers work between prop taxes, insurance, management on 20% Down vs cash currently earning 5% (albeit that 5% going away soon with rate cuts)  To be completely honest, there's not much right now that will give you decent cashflow without getting into a full rehab.

I look to achieve the 1% rule when purchasing although in the current market it’s not a guarantee of cash flow.

BRRRR is not a great strategy in the current market due to the mortgage rates so it's not as applicable as many think from reading older posts or books about how easy it is.

I currently live in Tennessee and I have a possible opportunity to in move to the state of New York for a two-year work-related contract come the summertime.

but they don't provide current rent, value, what they have capital wise, etc. 

As Vince said it is a quick guideline and won't work in most places with current interest rates and house prices. 

If you find someone at a REA or other investor meetup group that is currently in this space it can make your first time go much smoother. 

I am a current university student with about a year and a half left, who has been interested in finance and real estate for a long time!

- The property is probably NOT as profitable as you think it is.More reality for you - how are you going to cashflow enough from leveraged rentals to replace your current income?

It's an estimated cash on cash return given current rental rates subtract expenses assuming 7% interest rate, 10% management fee, 5% repairs, 5% capex and other expenses like mortgage, insurance, tax. it's a estimate to tell you what properties to analyze vs ignoreyou can see the are pockets of negative returns as well as pockets of positive return. this is to supplement the data @Devin Conley provided