Agree with Marilyn. You should ask during your permit process at the nearest Hungarian Embassy or Consulate. Your paperwork to live in Hungary should be done (or at least started) before you arrive in Hungary. The rules change here all the time.
Again, it is more then important to get your papers in order before actually going into the HU immigration offices.
I do say allot of negative stuff about the immigration office but in a way some of my issues were our own fault.
My husband thought it was a non issue as we have been married forever, our son is a HU citizen, he is one, I never wanted a thing from Hungary, no job, no welfare no nothing other then to move here with my citizen husband and live in peace.
Well, the fact that I entered HU as a "tourist" status made it hard to get my paperwork done in a quick manner plus they mis filed, misplaced and dragged their feet on me to make a point, no clue about that.
By dragging their feet it mean they would be all good but then say, we need one more paper. We would get it then it would be but now we need just one more document, went on so long I still do not feel welcome much here, even after more then 8 years. Ready at any time to be tossed out after what we went through here. No one cared and no one helped us with our papers. It was if being the spouse of a HU citizen is nothing much.
They were not racist other then it seemed they were not overly crazy about people from the US coming here, just got that vibe. My parents names were very European so no way on paper they would be against me other then me being from the US. One surname was very German on my mom's side and my father's was a old Slavic name. Just mentioning that as sometimes the news says HU gov. is racist, don't think that is so, more they are against certain countries who might not have supported them etc.
I was even mailed out a letter of deportation from them at our apt. Had to hassle with that and of course pay for the stamps etc.
Very stressful, made those 6 months of living here horrible in many ways.
Never knowing what would happen.
They even had my son's marriage on flie in the computer system at immigration which listed me as his mother, one hand didn't know what the other was doing over there.
In the long run we had to formally marry on paper in Hungary as well as get more documents from the US, papers that anyone could get online but they wanted stamps on them no copies.
If they can do that to the wife of a Hungarian citizen they can do it to the spouse of any EU citizen as well.
We got very paranoid over this issue. My husband was even thinking it was a form of old style punishment against him for leaving HU without permission in his youth. Or that we were older and they didn't want us here, lots of things ran through our minds because at the time it was so bad.
Perhaps they don't want old people returning and using their health system etc. We will never know for sure.( Funny thing is I go to the US now if there is anything serious going on health wise... thankfully we never see doctors in less we really need to.. I swear off of them)
It also matters what sort of permit to stay you are applying for. Short term is probably easier then long term.
We were very close to hiring a lawyer. My HU husband is stubborn though, he was determanded to do it himself as his right. Almost killed us both in the process but in the end it worked out.
Best to have all the info you can before setting foot in HU.