One of the means to explore the area faster is to use beasts of burden, horses, stags, dragonlisks and exotic mounts. Once you have obtained a mount, you need to summon it with the appropriate button and it will appear next to your character immediately. It is impossible to summon them in confined spaces like buildings or anywhere underground. Horses are immortal - thanks to this, you can, e.g. jump off high cliffs. Once obtained, it remains with you for the rest of the game. Out of the rest of the important features, it needs to be pointed out that they do not have the option to attack and, if you are hit by an opponent, the horse disappears up until you summon it again. Moreover, you cannot summon a mount while in the combat stance. Your party disappears once you mount the horse, thanks to which they do not obstruct your exploration, and they reappear immediately at the spot where you dismount. The great downside is that riding a mount disables the option to scan the area - if you are traveling across a new area, you need to search for new elements of the surroundings on your own.
The first horse that you obtain is in the Hinterlands, and this should be one of the first activities that you do. The Equerry mission can be done for Master Dennet - you can find him in the Eastern part of the map, in the farm cottage that looms over the area.
At the initial stages of the game, once you obtain your first horse, you will be unable to change it but once you gain access to the Skyhold, you will find stables and a store. There, you will be able to buy a new mount. The specific mounts do not differ in any particular way, apart from the looks and the sounds they make. However, the damage they can take before you fall out of the saddle, is a bit different (this does not go for bow attacks). They also slightly differ in terms of the means in which they cross the country (however, the speed is constant for all of them).