I agree, the problem comes when trying to eat them though, there isn't really anywhere to put them down outside, unless you try to take them into the ground of course, although it doesn't really get much easier there either. Those cardboard trays that the fish and chips are served in, are just...
The OP has parking arranged at the Bridge I believe. Even so would suggest that the Black Lion is the much better bet of the two, as the Swan can get horribly crowded, especially if you want to eat.