Saxony is divided into eight historical, cultural and geographic regions:
Language of communication is naturally German, but the Sorbs in the Oberlausitz also speak their own language. Sorbian is a sister language of Polish and Czech. The Saxon accent is quite strange for most other Germans and therefore often ridiculed and used in comedy. Regardless, the Saxons are very proud of it and it remains a strong part of the region's identity. English is widely spoken and many, especially young people, have a basic knowledge of another foreign language, like French, Spanish or Italian. Russian might be understood by the middle-aged and older Saxons, but with a growing Russian-German community, you might even find a native speaker of the language.
Saxony has two major airports used for scheduled passenger flights in Dresden and between Leipzig and Halle. Flights to nearly all German cities and to some destinations in Europe are offered. The airport of Leipzig has a slightly better network and good Autobahn and rail connections. Dresden's airport is closer to the city and easily accessible with public transport and car.
Public transport is for the most part good fast and reliable. If you plan to do a day trip the "Sachsen-Ticket" might just be what you are looking for. It costs 22€ for one person plus 4 € for each additional up to five and covers all regional trains in Saxony, Saxony Anhalt and Thüringen plus public transport in Leipzig, Zwickau, Görlitz, Halle, Erfurt, Gera, Jena (not Dresden though). Validity is from 9 am on working days (all day on weekends) until 3 am the following morning.
Saxony like the rest of Germany is generally safe and violent crimes such as homicide and armed robberies are rare.
At the same, Saxony has been suffering from racially-motivated crime and tourists visiting Saxony face the risk of encounters with right-wing extremists and Neo-Nazis. For instance, right-wing political parties such as the quasi-fascist NPD has been elected to the state parliament between 2004 and 2014 and Neo-Nazis have attacked and injured foreigners, homeless people and people with alternative looks. There have also been attacks on refugee shelters sometimes applauded by the local population. While such acts may happen across Germany, they are particularily endemic in Saxony.
The areas with the highest risk of encountering right-wing extremism are Gorbitz, Prohlis or Reick. In the vicinity of Dresden, the southeastern region stretching from the city of Pirna to Saxon Switzerland are also strongholds of right-wing parties and extremists. Outside centers of tourism in this region, chances of racist encounters are higher. So it is better to avoid these areas or at least to stay in groups and not to stroll around at night. If you encounter Neo-Nazis immediately leave the scene without engaging in discussion and call the police as soon as possible!
Since winter 2014 Dresden became the center of weekly protest marches of a group called Pegida, which opposes immigration by Muslims or immigration overall. The protest marches take place next to the Semper Opera. Similar protests took place in other German cities, but there they never gained any significant strength and were typically vastly outnumbered by opposing protesters. As of February 2016, no significant violance has occurred at the Pegida protests, but with continuing radicalization and participation of extremists it is recommendable to stay away from the Pegida protests and avoid the inner city of Dresden on Monday nights.