In that question I chose Remus. I don't doubt Sirius is a great gift-giver but...
As we know, Remus is really poor and sometimes even if he wants to buy someone a gift he simply cannot afford it. Which means he must save money for it (sometimes for long time). His gifts are carefully chosen or even made by himself. And I think that kind of gift is much more valuable for the recipient. I see it that way :)