Welcome to Hungary
This seems to be a very civilised place for cycling.
There are cycle lanes and polite drivers ( in Romania they just blow the horn and accelerate). In fact a local policeman ticked us off for not using the 'bicycle road' in a town. And its flat.
We took a good route from Salonta, over the border, then Sarkad, Bekes to Mezobereny. Here I made a bad route choice, taking a small road West for Szarvas - do not do this, as it is a farm road and only two thirds tarmac, lots of stony stuff. Perhaps go via Gyomaendrad??