"This is home"
What can I say about home? It is (or used to be) an industrial city. Most industries went bankrupt in the days of Menem (the 90' s). They are slowly coming to life again.
The city has approx. 1 and a half million people and is very large in the sense that the city borders are wide: I travel 1 hour in a bus to get from home to work. And I am always inside the city!
Córdoba has many beautiful neighborhoods, and also many not beautiful at all neighborhoods. All in all, it is quite safe if you take some care. It is much safer that Buenos Aires at least!
The city centre is full of historical and architectural landmarks. You will find a lot of very beautiful churches, the buildings of the Colegio Nacional de Monserrat and of the University (on Trejo street). It also has a group of pedestrian streets full of shops where you can buy mainly clothing and shoes. Take advantage of the devaluation of the peso and buy leather, shoes, clothes!
Stay in the city for a few days to visit the old churches and then by all means go to the sierras! There are three main touristic valleys: Calamuchita, Traslasierra, Sierras Chicas.
Calamuchita includes the towns of Villa General Belgrano, Santa Rosa, Yacanto, La Cumbrecita, Los Reartes. The best thing are the mountains and the rivers. The river I like the most is Rio Los Reartes. You can enjoy it if you stay at Los Reartes or at Intiyaco or at Villa General Belgrano. Beware though, in the summer when it rains heavily, it grows up fast enough to kill a few tourists every year.