If you are looking for some nice coffee and wireless internet the California Coffee Company might be a good solution. One California Coffee Company is located between Oktogon and the Nyugati Pályaudvar, and another is located at the Kalvin Square, next the the Museum of National History. Bring a laptop or a good book, and enjoy some hours at California Coffee Company.
California Coffee Company Kalvin Square
Address: Kalvin Tér
Metro stop: Kalvin Tér (blue metro)
California Coffee Company
Address: 1066 Budapest, Teréz körút 38
Metro stop: Oktogon (yellow metro)
well in Budapest i think this cafe is one of the best and most friendly place you can find .
its also safe i can leave my laptop go to get a another coffee .
one more thing the workers in there are really friendly and they would do what it takes to make you feel good .
Tak