Dublin is not very large a city and Tiziana's place is located about 10-15 minute's walk from the most central areas (Trinity college, Temple Bar, Dublin Castle, etc.) It is also on a major street so the local buses stop right outside. Because of the foot traffic, there can be some street noise in the evening so you might want to bring an earplug if you're a light sleeper, but I didn't have any trouble with it.
If you have a lot of luggage, you will have to carry it up a few flights of stairs, but besides that, the place was great, exactly as shown in the pictures.