What is basic item called when moving horse from one place to another?
A lead rope and halter is used. The halter goes over the horses snout and ears (like a dog collar in a sense) and the lead rope connects to a ring on the halter.
Well, when I get a horse without a name, I like to name it after family members, it's temperament or what it looks like. e.g. i knew a liver chestnut horse with dapples. He was called Marble. There was another horse I knew. He was grey and called Silver. Another was called Tilly after the owners grandmother. And another was called Major because he liked to lead the ride.