Arriving in Chisinau
There many ways to arrive in Chisinau. The fastest is Chisinau Airport, although Wizzair is flying there, it's still not from a lot of locations. The most common locations are from Bucharest or Odessa.
Odessa: Take a bus from Odessa bus station that's on walking distance of the train station and Privoz market. Take a bus to Chisinau. All buses from there go through Palanka border, so nothing to worry about Transistria.
Bucharest: From OTP airport and bus station Filaret are buses going.
Iasi: There are frequently small buses between Chisinau and Iasi.
Changing Money is very easy. On Stefan cel Mare street you can't miss the foreign currency exchanges, check their exchange rates. Getting cash from the ATM is in general easy too, any way I advise you the Agroindbank as some ATM don't give cash or can charge you extra. A main machine is at the opposite site of McDonald, other machine can give you less cash.
Although many public places and the central park have internet, I advice you to take a Mobile Internet at SA. Moldtelecom for ca. 30 lei you will get a SIM card. For every 21 lei credit you put on it you get 1GB of internet traffic, likely enough for your total stay.
Forget Google Maps in Chisinau. Download instead point.md from your Android or Iphone store. Chisinau has many long streets, and you often need to know the right block. Also this apps has all the public transport included.
Meeting locals and travelers.
The best way to meet locals and travelers is at the group Get Together Chisinau. On the Facebook page are many events posted often organized by their members or it are events posted by different groups.
Piata Centrala is the best place to buy cheap local products. Supermarkets can be more expensive than in western Europe, as many depend on import. Maybe the best choice is Supermarket Nr. 1
History and Wikipedia History of Chisinau
Other important sources