I used to agree with @Thomas S. and let it convert to month to month and I only do that if it is a mediocre tenant or one I inherited. 

Some people it was an inheritance and they need it today for return or they are retiring and need a certain yield.

I would also suggest that the contract be THOROUGHLY reviewed to see what all liability, responsibilities, etc. are inherited (atty should really review it).

We recently purchased a property with two inherited tenants.  

My father left his inheritance to me and another family member in 2 trusts (in our names).

Before I finally landed on this decision  some of the ideas I was tossing around for using as a down payment/closing costs etc on my 1st BRRRR deal was a HELOC on my primary residence, using an old collection that I inherited a few years ago, using my self-directed IRA, asking a wealthy relative for help or saving up on my own for a few years.

Whereas this may help lessen discrimination because it makes lending more objective rather than subjective, it also makes it difficult for investors to get the best types of loans over time because the algorithms are not created in favor of investors.So how does an investor grow a portfolio if the algorithms are created against them?

So I bought a class D property in June 2019 with four inherited tenants.

How do real estate structures interact with these inheritance tax considerations.and so on

Because of what I've seen pretty much across the board whether it is lotto winner, inheritance or even unexpected work bonuses - the first thing I would do is limit the exposure to anyone else knowing about the windfall & immediately make plans to properly put this in one or more anonymous structures, as well as, change my retirement into either a Solo 401k or SDIRA so I could be more in charge of my own money & have the ability to act as my own bank.Because I'd want to use a good portion of the money for investing, I'd set up that structure and use a Traditional LLC as my shell corporation and get my accounting in line and then get my estate plan to line up making sure to have all the directives, POA's & pour-over so my desires, and not anyone else, would be upheld if I became incapacitated or worse.I'd want to protect myself from petty lawsuits or mismanagement from the earliest stages.