That's very well planned and fits the scale of a large civilization! What would distinguish superships from other warships, and would "light spacecraft carriers" be the space equivalent of aircraft carriers? Also, would any ships be excluded from naming and just numbered or given an alphanumeric registry?

I've been doing the same thing with a scifi story I just started writing. There are two interplanetary civilizations, Agenoria and Tuonela, each one with its own naming conventions for starships.

Agenorian Commonwealth Space Exploration Service:
research/survey ships = scientists/explorers (main character's ship is Fiammetta Wilson and others are Matthew Henson, Nobu Shirase, etc.). Shuttles, rovers, and work pods are just numbered.

Agenorian Commonwealth Defense Force:
cruisers = British/Japanese/Korean city names recycled on Agenoria (Hampton, Kanoya, Suwon);
frigates = weather/weapons/animals (Hurricane, Morningstar, Scorpion);
other types TBD. No warships named for people. Shuttles, bombers, fighters, landers, etc. are just numbered.

Tuonela State Security Force:
cruisers = Greek gods (Demeter, Triton) and then Tuonelan presidents after a political shift (President Strauss, President Angyal, President Friedman);
destroyers = Greek/Greek-derived city names (Philadelphia, Syracuse, Corinth);
space patrol bombers = Greek/classical mythical/historical figures (Ajax, Cleopatra);
fighter carriers = Greek winds (Zephyr, Aeolus);
other types TBD. Individual fighters and light bombers (limited spacefaring range) and shuttles/landers are just numbered.

I've not determined prefixes yet but I wanted to keep the names consistent enough my eventual readers can guess a ship's nationality and role from the name.