Accomodation

Unfortunately the reception site does not have it's own accommodation, however there are many hotels nearby.
The nearest hotels are the Radisson, the Devin and the Danube. These are a bit expensive but are all very nice.
The Hotel Ibis is a good value hotel within easy walking distance. Other cheaper options include the Old City Hotel and City Hostel (even though its called a hostel each room has its own bathroom and single and double rooms are available).
It may also be worthwhile looking at apartments in the city centre. This website is really good. Some of the apartments are in very good locations, for example this one is very close to the Reduta.
Staying in a pension is also an option. These can be very good value and can range from a small family run pension to a whole house like the Pension Park House shown below.
Before booking anywhere be sure to check these sites, Tripadvisor and virtualtourist, to see peoples' reviews.