As
most people in this thread have given good advice (exception being gingerbreadman85), there are certainly some advantages to going to places which are more respected as teaching institutions than others...and this doesn't always show up in the league tables.
For example, some universities are respected for the education research coming out of them, rather than the actual quality of their PGCE courses. When I went for my interview at my school I was told that Bristol were highly respected for their educational research, though they are within the top 10 of teaching institutions they are not right at the top.
Yes, gingerbreadman is correct that "QTS is QTS" but with teaching places being in such demand, the more you can do to impress interviewers, the better. Using your university's name to open doors is not all you are doing, you have gone through the process of applying and gaining a place at that University, and having gone through what may be regarded as a higher quality (and perhaps more challenging) teaching course, and therefore you're not using their name, you're demonstrating you've done your training at a higher quality institution.
Finally - agree completely on the Citizenship thing. The people I know on the Citizenship PGCE at Bristol had so many problems finding jobs these years, many schools simply integrate Citizenship into PSHE lessons, or tutor time, and as MrM says it is
very likely this is going to disappear from the curriculum next year I'm afraid.
Look into Geography perhaps? That's what I do, and we've been told to expect that some of the Citizenship key concepts/ideas could be integrated into our area of the National Curriculum