I spoke to a Hungarian friend of mine about this very thing. He said that syntax is not hardcoded and you can be flexible about it. But it sounds better as it is written here with the verb following words like 'there/oda' and so on. In English it would be more poetic 'There want-I to go, not here'. Anyway I'm just throwing thoughts. Quite a newbie in Hungarian myself.
I'm not a native speaker but something I have noticed is that in simple "XXX is YYY" sentences where XXX is an noun and YYY is an adjective, the adjective tend to come first. So for "the dogs are cute" you would write "Aranyosak a kutyák," (cute are the dogs) or to say "The umbrella is wet" you would write "Nedves az esernyő" (wet is the umbrella).
I am sensing that it has to do with general vs. specific statements.
"Dogs are cute" - "A kutyák aranyosak" (note, the adjective also gets the plural "-k") - a general statement
"The dogs are cute" - "Aranyosak a kutyák" - specific dogs that we are talking about
This thing also works with verbs in the place of the adjectives:
"Dogs bark" - "A kutyák ugatnak" - general statement
"Every dog barks" - "Minden kutya ugat" - general statement
"The dog barks/is barking" - "Ugat a kutya" - specific statement
This rule is not set in stone but seems to be a very good guideline. And I would say that the important information was placed in front in all of the sentences.
"Who is barking? The dog is barking" - "Ki ugat? A kutya ugat". Because in this statement the dog is the most important information.
HeruMornie, yes, those are translations, but in English so much of whether something is polite or not depends on intonation, "Do you want anything to drink?" could be nice or impolite. I've always been told that "akarok" is plain rude, so as Melody says, I would avoid it, and use "szeretnék" instead.