просто в "упаковочную" или в специальную для подарков?!

Просто в упаковочную)
Запаковать что-то, но мне слово to pack не подходит, потому ищу слово "завернуть".

Wrap

To wrap a gift

Да, wrap

Вот спасибо!

Uly, how about wrap it UP? (I wanna tie a ribbon around you, wrap you up and tale you home).

That comes from the days when they used to wrap your purchases in brown paper before they put it in the bag. That normally doesn’t apply to gift wrap.

Who could only guess not being a native! That was from a 1957 movie )). Thank you!

Funny enough, people still say “wrap it up — I’ll take it” when they decide to buy something.

https://www.youtube.com/watch?v=51270i8F3mU

That's why there are cars from the 50's in the clip ))

Exactly! Such a great song. It has that Elvis/Vegas feel.