All of the above, and they will look at your personal debt to income ratio and likely need tax returns whereas hard money doesn't need that. 

I realize that our partnership would need to file our 1065 for 2023, but would then the partnership issue subsequent K-1s to me and my wife, to which we would include when we file our personal taxes?  

It's going to come down to how good the deal is; how Expect to put the property in an LLC no matter what to limit your risk, but you will have to personally guarantee the money that someone's willing to give.If it's somebody you just have a relationship with but has enough trust in you to lend to you, the terms can be different and it's gonna come down to what you can negotiate with them.

Truly private money could simply be one person lending money while hard money is usually an institution or similar.

In 2021 I had overall negative AGI on my personal return due to losses on rental properties.

These typically do not require any personal credit checks and are directly based off the property in question.On top of the $10-15k as a down payment, do you have any capital to invest into the property? 

However, from personal experience I would reach out to the HUD section 8 department to give them a heads up about the sale of the property. they will send you a packet to fill out but can't be completed until the new tenant has signed the lease or the current one is transferred into your name.

I'm personally a fan of C-corporations, though they are also complicated.

That being said, we have now run into a strange situation where I am not quite sure how to proceed.The tenant in question funnily enough happens to be my neighbor, as I own several units on the lot and for this reason, I have managed it personally over the years unlike other assets in our portfolio.

With that said, a lot of management companies that are larger are constantly churning through what is essentially an entry level position, and I doubt there are that many folks checking the random person who goes just over 2 years before getting licensed.