Could I say this for: "Jag tag en promenad med hunden"?
Absolutely - I use that expression all the time. :)
whats the difference between aker and promenad?
You take a promenad by foot, but you åker in a vehicle.
Gå and åker are verbs. Promenad is a noun. English walk just happens to be the same word for either verb or noun.
In British English, we usually say 'go for a walk' not 'take a walk'.
Yes, and they're both accepted.
I've seen the English noun promenade in only one place (TV's DS9) used many times to mean "a place to walk" in the way a boardwalk is, but apparently there was a time it could be used to mean "a walk", the same as promenad.
Well, it's not accepted. :)