When I self-managed C Class properties, I would put the requirements for tenancy in the rental listing (3x rent in income, 1-month security deposit, criminal check, etc.), and then when the potential tenants called in, I would speak to them for a few minutes, explain the requirements, get some sort of verbal confirmation on some or all of the requirements, and then invite them to different showing times I had set up.

My thinking was that it could possibly be more attractive for a tenant looking to go week to week, or month to month, without needing to put as much down for 1st, last, and security, and at the same time I wouldn't hold the risk of a bad tenant being stuck living there with a 1 year lease.

District of New Jersey | Leader of Real Estate Investment Firm Admits Role in $658 Million Ponzi Scheme and Multimillion-Dollar Tax Evasion Conspiracy | United States Department of Justice

My understanding is that so long as they confirm that they're moved out and give me the keys, I'm well within my rights to just have a junk remover / trash company take whatever was not there to begin with, and deduct that from the security deposit?

The determining factors on which markets to consider investing include: a stable and diverse economy, low property taxes, landlord friendly laws, job growth, population growth and a business friendly climate.

Trying to find a reputable website to find properties that have tax liens on them?

If you're buying a primary residence, you'll likely be getting a rate in the 5-7% range depending on loan product, and whether you buy down the rate or not (think tax benefits).

I am experiencing a LOT of demand for small homes &/or apartments that tenants are prepared to pay $700- $800/month regardless of utilities.The majority of enquiries are from older singles who are still working to support their social security & just want a safe, comfortable humble place to reside in. 

Security deposit in exchange for signing the lease.

Is your DSCR ratio greater than 1-meaning are you cash flowing (according to the lender's criteria of mortgage, property taxes and insurance (and HOA) if applicable).