Cycling provision in Hungary is patchy, to a point where journeys may be impossible in areas where cycling is banned on certain roads. But as far as I can tell (without being able to understand Hungarian), it seems that there is a big push underway to develop infrastructure.

I recently had a ride from Bük to Csepreg which was mainly on a separate cycleway by the road. From Csepreg I was able to enter forest tracks which were very beautiful. I've also noticed quite a bit of new infrastructure in various parts of the country.

I can imagine Hungary becoming a very appealing cycling destination if they continue to develop the network.