Southampton, it's closer to the city centre, about a mile or so, rather than the coventry one which is 5 miles or so.
Other than that not a lot in it, nice coast near Southampton, Coventry is handy for Stratford or Birmingham , both have good local beers and generally nice people. They both have city centres that look identical to every other city centre in the UK, I'd go for the one it's easier to get to in the first place.
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