If you're going to do nursing I deffo recommend Southampton, it's a good department (one of the best at the uni) and the university has a very good reputation in general.
Plymouth I'd say is still a good choice for nursing, the uni is on the up in general as they have such a massive annual income.
Bournemouth I would avoid, it doesn't have a very good reputation and performs pretty badly overall in the league tables.
However if you're looknig for beaches, I'd suggest Bournemouth as Southampton doesn't have one either. But remember Cornwall is just down the road from Plymouth so beaches are deffo not out of reach.
If I were in your situation I'd firm Southampton, put Plymouth as your insurance and ditch Bournemouth.
