Translation of infinite in German

We started the next day with the famous breakfast at our famous Rex hotel. The breakfast was not good at all and they tried to mimic an American continental breakfast, instead of using typical food.
What are you doing right now? Are you still online? How about your winter vacations? Which city do you live in? It would be very nice if we could write each other in German too. Are you up for it?
We had decided to fly to Lima (instead of Buenos Aires, Argentina) and to visit Machu Picchu just a few weeks before leaving Europe.