It's your trip, so you know your needs best, but why stay in Brooklyn if most of your time is going to be in Manhattan? The only reason to stay in Brooklyn would be to save money, and maybe a deal comes along that makes a Brooklyn stay worthwhile (you should also consider Long Island City, Hoboken, and/or Jersey City if there is a hotel along the waterfront (not all Jersey City hotels are well located))... but generally speaking i think you have just as good of a chance of getting a deal at a Manhattan hotel for about the same price. The issue that may hurt you in finding a Manhattan hotel would be that most charge resort fees now, so if Brooklyn hotels are not charging a resort fee, that will be the primary difference when it comes to budget. However, i'll reiterate that staying in Manhattan should be worth a premium, imo, you don't want to spend 10% of your vacation time commuting... and if coming to NYC, 'the city that never sleeps', why are you looking for some place that is 'not as busy'... your hotel will be quiet enough to offer you respite from your busy days.
If you're not sure if this was indeed the Hilton or not, start using our BiddingHelper.com tool in order to search as it will indicate the likely underlying hotel for each offer.
Just as an example, this 3 star Lower East Side - Chinatown hotel for $80/nite (appearing to be the Wyndham Garden Chinatown) would be a better option and worth the extra $20/nite vs. staying in Brooklyn. It's not the most central location in Manhattan, but it would be a better and more convenient option.
Please remember to return to BetterBidding and use the PRICELINE and HOTWIRE links on the board to begin your travel purchases... or thru our sister site MAPSandHOTELS.com for your regular rate purchases.