As a transportation, there are Ordinary horse and Race horse.

Even with the same transportation, different kinds will be given depending on the Race of your character.
Werebeast will be given a rhinoceros, Human will be a horse and Fairy with a deer.

If you purchase a horse, horse item will be placed in your bag.

Left click on purchased item with left button to bring out Animal Creation window.

If you click on Create button, it displays a separate window where you can type in the name of an animal. Type in the name of an animal and click YES to activate the transportation.

Now, your animal was successfully created. Click on Create button.

Right click on character stats window to display menu.

To summon an animal, bring out the Animal Management menu by clicking an animal icon placed in the bottom of the screen or right click on the character stats window placed in top left corner of the screen. Click on the Summon button on the Animal management window to summon transportation.
Place the animal icon in Quick slot and summon function can be used with a shortcut key.

Right click on the transportation with the mouse and new menu appears.
Click on Ride button to ride the transportation.

To get off from the transportation, right click on the transportation or click on the character stats window to bring out the menu and click Lower button. Or you can simply press the shortcut key.

You might fall off from the transportation when attacked upon, once fallen off the transportation, you can not get back on for 18 seconds.