Cavalry were always the 'first in line' in most armies at the time - the most prestigeous arm and units of any army. They were seen as the 'modern' equivalent of knights - landed people who fought on horseback, socially higher than all the others. The royal mounted guard were always top of the list (when there was a 'royal') followed by light cavalry, often hussars or lancers, mainly used for recconnaissance and advances against little opposition - raiders. They originated as irregular cavalry but were never seen as 'battle winners'. They were expected to remain in the saddle for most of the day. They were seen as 'daring' and had their own rules and regulations. They attracted many from the upper echelons of society - and quite a few 'naughty' ones as well! The 'irregular' aspect never seemed to vanish.
'Heavy' cavalry was next - the guys you could use to break an enemy line, often armored in the early days, and were equipped with straight swords used as a 'point' weapon in the charge, using weight and speed to overcome. Finally, way down the bottom, the dragoons who were really mounted infantry. No carbines for them, but 'long' arms (large caliber pistols in the early days). As time went on, there were 'light dragoons' too, often assigned to light cavalry formations but again, rarely 'in charge'. The dragoons were used as mounted skirmishers - a force that could hold ground as the infantry moved up - something the cavalry were not trained to do at the time.
Gradually, the dragoons were incorporated into the heavy cavalry and became dragoons in name only. Their social standing did not seem to improve, however. In Civil War days, there was little variation in uniform so the European traditional asiatic hussar uniform of fur cap, pelisse and sabertasche was rarely seen, although a number of cavalry regiments on both sides were titled 'hussar' and had a braided tunic initially. Like the Zouaves, the preferred uniforn gave way to what Ordnance could supply.