It all depends on what matters to you, i.e. space, location, price, garden, walk-up vs. elevator, being able to say you live in "x" or "y" building. There is a wide range to choose from. Try to get a feel for the different blocks and different buildings. Each is unique and has a distinct vibe. Nothing beats walking around, and going to open houses, if at minimum, to see what the buildings are like from the inside. Don't just focus on the apt that is being shown. Walk around during the day and at night, weekday and weekend. You can keep an inventory of potential favorite buildings and slowly narrow in on a couple.
I would say keep in mind that you are buying a unit and buying into a building. Ideally you find a combination that works for you. However, you might have to make some tradeoffs, on one or the other. It all depends on what are you are looking for in a unit/building, how quickly you want to buy, and what is available for sale. Some marquee buildings might not have units that make sense for you, others might not have anything available for sale. Lesser known buildings might provide good value.
It is a great time to buy given where mortgage rates are today. It continues to be a buyers market (lots of inventory has been sitting on the mkt), so you can take your time to find the right place for you. Be proactive in thinking about what matters to you and don't just react to what you see listed on NYT or Craigslist.