as your primary you should be able to get an O/O HELOC my guess on the move out question would be dont ask dont tell, so residential HELOC's tend to be 10 year term, so I would maybe get the HELOC from a bank you dont do investing related banking with maybe an out of area bank or bigger institution. and set up a P.O. box or a different address to get correspondence from them (totally reasonable in a multifamily) this way when you move that doesnt change, so no red flag for them to call it due.

Current tenants leaving when their lease expires (i.e. not renewing) is always a risk, but one that you may be able to address if you are allowed to talk to the current tenants. 

What are cheap and effective things to replace, fix, or add into rentals to add value and increase rent?

I don't think that they are because most of them do not even show the address.

However, you have to find a contractor willing to work with the program as they have to agree to NOT get paid until after the work is complete, and has been inspected by FHA.Lastly, I want to address something you said that needs clarifying. 

Tony Marcelle Absentee really just means that the owner has a different address than the property tax records.

Send me the address

But I certainly want to expidite and get all the SEO elements and content operating effectively, so I'm hoping to get plenty of help via Fiverror some outsourced solution.

My understanding it's effectively a loan on the equipment for a specified period of time. 

If you are interested in doing a search, search "property address search in NYC" and you can find Department of Finance Web App to find out Market Value.