At the initial division in 395 the Western Roman Empire was already at its height, as it was mostly all downhill from there. The capital at that point in history was Milan and then Ravenna, neither of which were cultural centers. Considering the fact that the Empire wasn't ever officially divided, though, the official capital was subsequently Constantinople. Even it, however, hadn't gained enough prominence to influence the styles throughout the Empire.

Most Roman noblewomen grew out their hair for as long as it could. It was usually tied up with ornamental hairnets, fabrics, or veils. Adult women almost never wore their hair uncovered outside of their home, as that was considered to only be suitable for prostitutes. When inside, they were usually kept braided, though the braids and curls were much less complicated than they were before most city dwellers converted to Christianity.

Source:

Sherrow, Victoria (2006). Encyclopedia of hair: a cultural history

The time period that im talking about here is the Antonine period from about 96-180 AD when the Empire had a long sustained period of growth and prosperity.

your slave. Rich Romans had loads and loads of slaves, it was a way of showing your wealth and prestige. A rich senator would be embarrassed to go out without at least 20-30 slaves accompanying him, anything else would make him look like an equestrian or something. Indeed, you might have had 3 or 4 slaves, one to wash it, one to cut it, on to oil it, one to tie it up, one to braid it etc. The same would be true at dinner parties, one slave to take your cloak, another to take you to your table, one to bring in the dishes, another to mix wine, another to pour the wine, another to take the dishes away, another to give you back your cloak. Different slave for every conceivable task. No only showed that you were wealthy enough to own the slaves but also to feed them and keep them in good condidtion

I'm less certain for the classical period, but most noble or high-class women from Late Antiquity through the Medieval Era would have their hair styling done by one of their female maids or servants -- it was not until the 18th century that professional female hairdressers began to emerge in France and England.

If roman women of class had worn their hair uncovered, the style would have mattered, but as u/pat5168 already said, they did not. Cutting of the hair as well as assidtance with bathing would have been provided by women and occasionally men or eunuchs known as "body servants" servants who attended to the needs pertaining to the body. Body servants would essentially be a butler or maid who helped with everything body related, though they were not bed slaves, who were responsible for les genteel duties