Well, things to keep in mind:
1) Dam-Torsad refers to the entire city. Dam as a prefix basically seems to mean 'great' or 'greater' or 'whole', as in the greater Torsad area. The actual city is simply Torsad.
2) Dam-Torsad has spread across the entire Amarr Island, and all of the previous city states were incorporated into it as subdistricts. By lore we know of at least the following:
Torsad-Laur
Torsad-Unan
Torsad-Edras
Torsad-Iphria
Torsad-Istha
Torsad-Melekel
3) Amarr worship old age. They favor history and wisdom and experience. While there will certainly be modern parts of Dam-Torsad, with golden skyscrapers framing the skyline, you should expect a significant part of it to contain buildings, roads, statues, and other artwork that is hundreds or thousands of years old, painstakingly preserved and maintained into the modern age. We know at the very least that Torsad-Laur is made of mudbrick buildings and narrow cobblestone streets, similar to historical medieval cities maintained to the modern day like Visby (which I live in, so that gives me a lot of insight into this kind of place). Treat Dam-Torsad as a world heritage site. Similar to RL heritage sites, expect the older areas to actually be the more expensive parts to live in, with many probably being vacation houses that are empty most of the time. There will also probably be quite a lot of ruins, left as ruins as part of their aesthetic (in Visby for example, a significant portion of the old churches are just the stone superstructure, the only thing that survived their burning. These superstructures are left as ruins, rather than rebuilding the church, as the ruin itself is historical. Dam-Torsad will probably be similar).
Considering the age and expansion of DT, expect different areas to have different architectural styles depending on when they were built. Laur is described with fairly medieval appearance, while DT is also known for having been a center for art and renaissance during later years. Walking through different parts of DT will be like walking through different parts of Amarrian history.
4) Amarr considers certain things to be so sacred that visits by the less pure are considered sacrilegious. Expect the most religious sites to only be open to outside viewing, with the interiors restricted to only guests of noble birth or higher. See the issue surrounding the Cathedral of St. Tal-Romon for an example, which was moved to Dam-Torsad and in which commoners and tourists are not permitted.
5) The main Cathedral of Dam-Torsad is the most religious site in the Empire, and is treated similarly to Jerusalem/Mecca, seeing scores of pilgrims yearly.
6) Dam-Torsad has a mild temperate environment and doesn't see snow except at its northest points. The landscaping is also flat. There is however one religiously significant mountain present on the island.
7) DT is described as having many cathedrals along a rocky coast and multiple zoos and menageries.
8 ) Hedion University has a subcampus in the city. The other major schools probably do also.
9) Dam-Torsad is loud and communal. It's a place where people are expected to be social and engaged with each other. As such, expect a friendly population that is quick to greet you with a smile even though you're a stranger. It almost certainly sees a
lot of traffic by foreigners and bloodlines of all kinds, as multicultural tourist sites tend to be, so non-Amarr don't have to worry about as much immediate negative reception as in less-visited cities. On the other hand, despite Amarr's heavy-handed nature, expect a lot of petty crime for similar reasons, especially during tourist seasons.
10) The majority of the slave population of Torsad-Laur were emancipated, as they were high gen academics. A significant portion of these probably continue to live as free men in the city, though their prospects may not be as good especially since living in Dam-Torsad is probably more expensive than elsewhere (in an RP I had with Aldrith, Sami was working with the Order of Weeping Suns at a Salvation Church clinic in Torsad-Laur to provide support and care to former slaves who fell between the cracks after their release, especially drug addicts).
11) As the capital city, expect embassies to be located here.
Sources:
https://wiki.eveonline.com/en/wiki/Amarr_Islandhttps://wiki.eveonline.com/en/wiki/Dam-Torsad_(Chronicle)https://wiki.eveonline.com/en/wiki/Chained_to_the_Sky_(Chronicle)https://wiki.eveonline.com/en/wiki/The_Font