What is the authenticity of the Hadith: "Horses are of three types...", what is its text and explanation, and what is meant by the three?

Horses are for three purposes: a reward, a cover, and a burden. As for the reward, it is for whoever ties them in the way of Allah, for everything that befalls them will be counted as good deeds for him. As for the cover, it is for whoever ties them out of self-sufficiency and contentment, without forgetting Allah’s right concerning them. As for the burden, it is for whoever ties them out of pride, ostentation, and animosity towards the people of Islam.