They should need access to the house to verify the square footage and look at the livable condition, but that's it.

Property is in good condition, pay rent on time etc.  

A lot of emotion gets involved and the HOA wants the people out.Depending on the property condition, the HOA could foreclose then rent out the place until the bank can get around to foreclosing.I have assisted quite a few HOAs in the past who have foreclosed not having a complete understanding from their attorney about what happens to the 1st mortgage.

Tax liens just give you a percentage back % which usually ends in bid down wars (@Wanye knows more about it but the general gist is other people can bid down  against you).Its after a few years of consecutive missed taxes does the property goto Tax-deed sale with the county.If you want to participate in tax-deed auctions you need a bit of money (40k to start possibly more now - and you'll need a lawyer if you intend on selling the property - have to complete the quiet title process). 

With four members it dramatically decreases the costs associated filing with your state and paying a lawyer to set up an operating agreement.

Be sure the property condition is up to the market standards.  

Not looking for advice in any way - just a good lawyer that will REPLY. 

They are all independently owned, and run about $50-60k/door ($200-250k) on the market, drawing $650-800/mo rent (each unit), depending on the size, location, and condition of the unit. 

Looks like our lawyers had talked and had a signed extension through closing date (today). 

Hi, I'm looking for lawyer specialize in eviction in NYC area.