After you’ve done all the math and you find you have a budget of $400,000—give or take a few thousand—head straight for Manhattan for a studio or one-bedroom (though we did find one two-bedroom HDFC co-op for that price). Need more space? Expand your search to, yes, Brooklyn and the other boroughs, where you’ll find two- to three-bedroom apartments, as well as single- and multi-family houses.

And if you see a place you'd like to make a move on, take a look at BrickUnderground’s How to Buy Guide. If NYC is new to you, check out our crash course on how to find an apartment for everything you need to know.

LOWER EAST SIDE, MANHATTAN: A one-bedroom, one-bath co-op on the first floor with exposed brick walls and original tin ceilings in a five-story building two blocks from the F, J, M and Z trains at 100 Suffolk Street (between Delancey and Rivington). $399,000 plus $635/month maintenance (guarantors/co-purchases are permitted)

LINCOLN SQUARE, MANHATTAN: A studio co-op with a windowed kitchen and bath and original moldings, doors and trim on a high floor in an elevator building with an additional surcharge of $145.28/month in place through September at 243 West End Avenue (between West 71st and West 72nd). $410,000 plus $980/month maintenance, includes electricity

HAMILTON HEIGHTS, MANHATTAN: A two-bedroom, one-bath co-op with a washer and dryer and exposed brick, plus large wood-framed windows, on the first floor of a pet-friendly HDFC building at 464 West 152nd Street (between Amsterdam and Convent avenues). Investors aren't allowed. $400,000 plus $780/month maintenance, includes heat, water, taxes and a part-time super

CROWN HEIGHTS, BROOKLYN: A one-bedroom, one-bath top-floor apartment with original parquet floors in a circa-1927 co-op in a pet-friendly building that was once the hotel for the Brooklyn Dodgers at 345 Montgomery Street (between Rogers and Dearborn). $399,000 plus $527/month maintenance

BROOKLYN HEIGHTS, BROOKLYN: A one-bath L-shaped studio co-op that can be converted into a one-bedroom, with updated espresso cabinets and a dishwasher in a doorman building in the PS 261 Philip Livingston school zone at 85 Livingston Street (between Court and Boerum Place). $410,000 plus $1,016/month maintenance

ROSEDALE, QUEENS: A three-bedroom, three-bath two-family at 241-08 145th Avenue (between 241st and 243rd) with a private entrance for each floor, as well as a finished basement and detached garage; the LIRR and Q85 bus stops nearby. $399,999 plus $417/month taxes

ROCKAWAY, QUEENS: A two-bedroom, two-bath, 10-year-old single-family house with a Jacuzzi, new kitchen, gas baseboard heating and a deck off the master bedroom at 222 Roxbury Avenue (between Hillside and Browns). $409,000 plus $240/month homeowners association fee

RIVERDALE, BRONX: A two-bedroom, one-bath prewar co-op with a sunken living room and eat-in kitchen in a pet-friendly building at 4445 Post Road (at West 246th). $405,000 plus $1,092/month maintenance

ELTINGVILLE, STATEN ISLAND: A three-bedroom, one-bath house with a renovated kitchen and bath, a two-car garage, two sheds and a deck off the sunroom on a dead end (that’s not in a flood zone) at 104 Armstrong Avenue (between Tennyson and Hylan). $399,999 plus $3,374/month taxes

7 questions to ask about the building before you buy an apartment there (sponsored)