Unfortunately, it's hard to pin an exact price point on any house or apartment in Boerum Hill, because the market varies a lot. To figure out the price point ask yourself "do I want to rent or buy?", and then you can go ahead with your search. For renting a 1 bedroom In BH, you're looking at anywhere from $1,700 to $5,500. For buying, it's hard to get that exact range, so I would start by searching on the New York Times Real Estate website. The general price range, though this may not reflect the area completely, is $200,000 to $600,000. If you're looking to get something in BH, I would recommend renting, because it's easier to pin down an exact price point.
