On my bike ride I went past Copacabana to Urca, a small pretty neighbourhood with a village feel under the famous Sugarloaf Mountain. It’s quite a peaceful place as its located on another promontory and separated from the rest of the city.
For lunch I went to Bar Urca at 205 Rua Candiado Gaffre. In the restaurant you can sit at the window and look out over the small bay. It was full at lunchtime so it’s probably an idea to book ahead if you can (I don’t have the number sorry).
The bar is a nice place to come in the evening too as you can sit outside on the wall by the sea with your drink and take in the local atmosphere.