My concern is if I'm spreading myself too thin across the three different markets for my first few deals instead of focusing on one area and really getting to know it and build my RE team in that location. 

If you can make friends and get to know people and LIKE people, then you can deploy that relationship in a manner for all to make money.

And also concerned about the property being owned in by LLC (I'm the sole member). 2) I could "make it my primary residence" temporarily but that would mean changing all my info to receive mail at this location.

I kinda agree with @Larry T. there is presently a storefront vacant building right at the corner of where i leave, the store is rented out but the apartment is vacant and it has been like that for at least 2yrs.You also need to be wary of the location, correct me if i am wrong but buildings were there are apartments and stores are technically in D, E locations which could have a lot of issues. this is based on my drive and stay in Rochester NY.Your located in NYC, i think you could take a day or weekend off to come down here and check the neighborhood out.

I'm finding the hard part is more finding properties that are in a good location and also don't have restrictions on short term renters (either hoa or local regulations).I've reached out to owners with the same basic offer (increase rent, cover repairs up to a certain amount) and most people are hesitant to even discuss it, so i think it's a sheer numbers game and being ready to buy a property when one shows up that matches my criteria

I wouldn't want anything commercial mixed with rental.. to much foot traffic, Laundromats are huge utilities to run and to keep up with mechanical fixes.. and lots of stupid sit in and wait traffic.. big drug potential unless you have a staffed location.  

The property is located, literally, across the street from the campus core.  

I look at flips looking to make at least $20,000, regardless of price or location. that could be 20% or it could be 50%.

I'm 80-85% sure you just want this deal because you're both in love with the location (near the beach, and prime location too).

I personally do not like LA, but that's just me. as a real estate investing location, I would pass, because to me, it seems like there is more competition, and everything is so expensive.