If you keep going up the hill of the rails you will get to Sant'Ana and Santo André, other two hills that are more difficult to spot. In case you are in the area, "Miradouro da Nossa Senhora do Monte" in Graça has a nice view with a bar. If you go down, not to Alfama, you have Mouraria, this neighbourhood was famous for drugs and prostitution but it is completely different now, and like in many other cities, quite hipster. There, you may go to Ramiro for great seafood (even though slightly overpriced) or to Portugália for great beef actually you have many of them in Lisbon. For a drink pick Casa Independente, new hipster place, or Topo in Martim Moniz, with a great view to the castle.