I think a lot of my problem with this is that I learned Hungarian in a VERY informal way (through music and talking to family) so while I'm understanding most of this, it's hard to wrap my head around the formality of everything.
"No, I wouldn't like wine" would be "Nem, nem szerin-tek/tet/(someone with actual knowledge put the right postposition) bor". It would mean, in my limited knowledge, adding another word.