I'm going to quote a rant I had in another thread, apologies for the repetition:
"The deparment there is shocking, 2nd worst in Scotland two RAEs running, 2nd worst in the teaching standards too. Infact, if you consider the fact that Caley don't teach History as a degree, they're actually the worst! *shakes fist*. Don't believe the rubbish on the Edinburgh website either- they didn't do very well in research and teaching either, they have devised an escape route by multiplying their lower score by the number of staff (because that makes all the difference) to claim they have the third best dept in the UK! Its a shocking twisting of the stats. St Andrews and Glasgow were joint best in Scotland, and amongst the large departments in the UK (40 members and above, of which there are 12), no one outside of London and Oxbridge submitted more staff at a higher standard."
And:
"I'm pretty well connected with a good few staff members at a few universities in Scotland, England and Ireland, so word gets around. At the 2001 Reseach Assessment (RAE), Strathclyde had to take a load of extra staff on, because out of the Scottish depts that taught history as a degree, I think I'm right and saying they were the only ones to not get a 5 rating. This years RAE, which works on a different scheme (grades 1-4), had a national average of 2.65/4. Strathclyde had 2.3, second lowest ahead of Caledonian, and only 5% of their staff in the top banding, as opposed to 25% at Glasgow and St Andrews, who had averages of 2.75 (I apologise for the complexity of this!). Edinburgh had a score of 2.6, but claimed if you multiply the 2.6 with their huuuuge department, (i.e. 70 members of staff to Glasgow's 50) then you get a bigger number, and they used this to make up a new table, which surprise, surprise, put them third in the UK behind Oxbridge. A few academics here and in St Andrews were far from happy at this blatant twisting of the numbers to put a positive spin on a bad result. as for the teaching standards, all three were very good, identical infact with the top score possible, but Strathclyde was again the only one in Scotland (outside Caledonian which doesnt do a history degree) not to get a score of 'broad confidence'."
However, it really depends on what you want. I doubt many employers would know the difference between the Strathclyde, Dundee, Glasgow, Edinburgh depts, they'd just be looking for a reputable name and a good score. In that case, you probably wont be disadvantaged at all. If you want to stay in the profession and go into academia, then it will be considerably more important, as Glasgow and Edinburgh get much, much more funding for to support postgraduate students in research due to their much better profiles. A good degree and good references from Strathclyde won't stop you getting postgrad offers though, it just might hurt the funding aspirations (Russell Group students statistically do much better on average at gaining grants). If you like the course there, go for it. I'm in History for the long haul now, so I know more about departments than most employers, so they wont know/care what the RAE scores were. Glasgow and Edinburgh are much better resourced though, with more staff and bigger libraries, but again, Strathclyde's isnt poor in this respect, just not excellent. Prof Devine at Edinburgh is a Strathclyde graduate, and the head of Scottish History at Glasgow also hails from there, so it does produce quality students, it is just not statistically producing the quality of research and teaching in Scotland that the other units, particularly Glasgow and St Andrews, are.