Lee, Congrats on getting started. Finance is one of the taller mountains that always has to be climbed. If you can avoid hard money on the first one I would say great. Personally, I would buy a property that you can afford to hold based on your income should things not go your way at first.
That being said, here's my two cents worth. Unless you are using a specialty lender most, B2R, lima one etc, and just using a normal bank then you will be limited on how many properties you can have financed at once, usually around 10. Once you cross 4 properties financed the rules change some, I think I had to go from 25% down to 30% when I crossed that point. However, I prefer the use traditional residential mortgage lenders because the term's can't be beat. Like you I did have the questions about what if I want 200 properties one day? I would say get the first one first and cross that bridge when you get there. When you get to that point you can talk with your local banks about doing blanket loans to roll multiple properties under one loan, paying off a property or two to free up credit etc.
So, if you don't want to even mess with a residential lender and want to do a BRRR look at someone like Lima One, I'm not advertising for them, just familiar with some of their products. They have loans for fix-n-flip & fix-n-rent. Just be aware that the terms are not nearly as attractive as a conventional conforming loan. One option might be to talk to a local lender and see what their seasoning requirements are and look to get a fix-n-flip loan re-financed to a conventional mortgage after your rehab's are done. Just make sure you know the seasoning requirements so that you don't get into a situation where you can't re-fi and your hard money loan is coming due.
Hope that helps.