Research on Rome

Newspapers;
If your a fluent in Latin,a daily paper is called the Acta duirna actually a single handwritten sheet is handed out with the latest news.
Mail;
There's no postal service for ordinary citizens, but government mail is sent by courier. You could try charm or a bribe to have urgent letters included with the official mail. But its really not worth it if your only sending postcards home. They'll arrive months after you if they ever arrive.
Laundry.
If you have a toga it will need specialist dry cleaning. You can send your toga and other dirty washing to a fuller. Fullers generally treat cloth before its made into clothes, but they also offer a cleaning service.
Emergencies.
Since 6AD a combined police and fire-fighting force called the Cohors Vigilum has been in operation. They'll be on hand if your apartment catches fire, but don't expect them to do two jobs at once if your valuables are stolen.