There were three main settings in New Moon; Forks, Washington, Italy, and Jacob's house.
Forks, Washington
Bella spent a lot of her time depressed in her house because of Edward leaving. When she got a little better she started socializing with her friends and going out places.
Volterra, Italy
Bella and Alice rushed here so they could stop Edward from revealing himself. Also, here, Alice shows the Volturi that Bella will one day be a vampire. Because of that the Volturi decides not to kill her for knowing too much about vampires.
Jacobs House
After Edward leaves she finds herself spending more time with Jacob. Most of the time she is over his house watching him work on the bikes. Jacob seems to heal the whole in her heart, that Edward left, when she is with him.