Taking the vocabulary first, because it matters when you bid. A trash-out means clearing debris and abandoned belongings out of a property, usually one that's been foreclosed, vacated or left in bad shape. It's measured and priced by volume, cubic yards or truckloads. A turnover clean, sometimes called a make-ready clean, is labor priced by the unit or the hour, and it happens after the property is empty. Plenty of people use "trash-out" loosely for any cleanout including one after an eviction, so when a client says it, ask whether there's debris to haul or just cleaning to do. The two jobs have completely different costs.
What you actually need before job one: a general liability policy, which for a one or two person cleaning and hauling operation commonly runs a few hundred to around $1,500 a year depending on the state and what work you list; an additional insured endorsement, which is your carrier adding the client's name to your policy so your insurance responds if you damage their property, and the certificate is just the one page proving it; a disposal account at a landfill or transfer station, which most places bill by the ton with a minimum charge; and workers comp the moment you have an employee rather than yourself.
Licensing varies by state and often by city. Some places require a solid waste hauler permit or registration to carry other people's discarded material, some only require a business license, and mold or lead work is separately regulated almost everywhere. Call your county solid waste office and your city clerk before you assume.
The part that catches new operators is cash timing. Property managers often pay in a week or two. Bank and servicer work commonly pays 30 to 60 days after you invoice, and the dump wants money the day you pull in.