One way to create the strangeness is to have starports be completely integral to the worlds, designed, organised and run by the locals. Everyone is radically different. Think of Echo Base on Hoth (Empire Strikes Back).A frozen glacier, with hangers dug deep into cliffs. What's that, a Type D?
Make them run by entrepreneurs (Richard Branson), by companies, by governments, by local military (Edwards Air Force Base). What would TL 4 steam tech starport look like? Moving starships around on huge railways powered by steam engines ...
There is high tech for reair facilities, but it is in the workshops and surrounded by local tech and local culture. Make your starport reflect your culture, and make it an advert for your world.