Hi Lightning88,
I spent five years on Manhatten. Top of the line is East of Central Park, starts with Park Ave. Apartments overlooking the park are as good as it gets. The area behind is the Upper East Side. It does cost, but a Brownstone in the 80s is only $10,000,000. But you get off the street parking.
West side is lower rent, more of a working class, but that was a while ago. North of the park is Spanish Harlem, then Harlem. You would stand out in a crowd. Farther is the Bronx.
South of the park is Midtown, 42nd Street. Times Square, lots of lights, some big hotels.
Going south on the west side was the garment district, six story bricks, each floor an open loft, running down to 14Th Street. Farther west past 7Th Ave. is the Fulton Fish Market.
The East Side is apartment blocks grading down as you go south and toward the river. By the time you get to 1st St. and Ave. D, you should be armed.
On the West Side below 14Th St. starts the Village. It was a gathering spot. Washingtom Square is where Fifth Ave, ends Fifth is in the middle, a good neighborhood up to midtown. As in Saks Fifth Ave. Upscale shopping. The Village spreads across the island, to the East Village, St. Marks Place. Food, drink, more shopping.
Below the Village all across is Canal St. It was rather ethnic, lots of small business just out of Europe in those days. To the south comes China Town, on both sides were industrial zones, warehouses, the little factories that bought olives by the barrel and repacked them for stores. The West Side was torn down to build two huge milk cartons. I hear they are gone now.
Below that is the Financial District, Wall Street and the New York Stock Exchange. At the southern tip is Battery Park, and the Staten Island Ferry.
New York is constantly being rebuilt. Neighborhoods change. A hundred years ago 42nd St. was the place to be, then it became seedy. During the day people work there, but at night another group works there.
Traditional, you would like the upper east side, or Fifth Ave. I think Soho is the ex-garment District, lofts converted. It had some great working class food. The area is huge, 42nd down to 14th, between Fith and Seventh. Streets are short, two buildings, Ave. are far apart, three or four normal blocks.
Rich and poor often live close together. What world you live in has to do with the time of day.
I would judge it by what you are going to do there. Going to school has a neighborhood of it's own. People who go for a job often just want a place to shower and sleep. Keeping up a social life costs. Clubs can get pricey. You can live somewhere else for what it costs to keep a car. It all costs more than you thought, but the food is the best and freshest. Nothing ever beat it for quality and varity.
A lot of people prefer to ride a train north for an hour, some two, they work in the city, use it, but can buy a house for the price of rent.