All three people were describing something real, and which one applies to you depends on your state.
The common rule is that leasing property, collecting rent, and negotiating lease terms on behalf of someone else for compensation are brokerage activities, and doing them requires a real estate license held by or under a broker. In most states that means you either hold a broker license yourself or work as a salesperson under a broker who does. A handful of states have a separate property management license or permit with its own narrower exam, and a few have no license requirement for residential management at all. Your state real estate commission website spells out which one you're in, and that's the only source I'd trust on it.
The employee exemption is real too, and narrower than it sounds. Most states exempt a salaried on-site manager who works for the owner of that specific property. Once you're managing for multiple owners for a fee, you're outside it.
Costs run roughly $500 to $2,000 to get licensed, counting pre-license coursework, the exam, fingerprinting and the license itself, plus continuing education later.
On insurance, general liability and errors and omissions are the two you'd carry before your first door, and E&O for property management is written differently than agent E&O, so tell the broker what you're actually doing. There's a third piece people forget: most states require client money to sit in a separate trust or escrow account with strict record keeping, and commingling it with operating money is one of the fastest ways to lose a license. Set that account up before you take a dollar of anyone's rent.