Reports from the front lines of present wrapping indicate that a gift bag is probably easier, the Hamster can confirm.
Not all presents will lend themselves to gift bags, but when possible it is the right move. It is also possible – though not attempted yet – to just get a comically large bag if a present doesn’t fit in a regular size bag. The recipient won’t care, so long as the present is nice.
The Hamster has independently verified these reports.