In the 2003 TV series, the four Turtles' personalities are in some ways different from the 1987 TV series in an attempt to follow the Mirage Comics versions of the characters more closely.
The series covers a large scope of the Turtles' adventures taking them from the sewers, to the streets of New York City (namely April's apartment), to the woodlands of rural New England, to outer space, alternate dimensions, to the future, and ultimately home once more.