I don't pick it up very often, but one good way to start learning Hungarian is BBC History magazine (in Hungarian).Because if you already know the story, then all your effort is going on learning on Hungarian and not on what it is saying. I speak Hungarian every day as my fifth or sixth language but am no expert in it.... but for example there is a picture with the caption "Gorbascov, Reagen és aelenöke id, George Bugh a New York-i governors islanden, 1998 deember 7-en"
You can probably asready work out how the three people in the picture are.. and work out what bits mean. Behind them is the Statue of Liberty and that is a bit of a bizarre translation of "island" which would be "sziget" in normal Hungarian but