I've lived in Bournemouth and Poole my whole life and even stayed here when my family moved away. I grew up in two of the roughest areas (Turlin Moor and Bourne Estate/Rossmore) but now live in the beautiful Branksome Park area.
The area is absolutely beautiful. From the beaches (various "chines" that you can walk to from loads of areas in Bournemouth and Poole), the Forest on your doorstep, all the woodland you could possibly dream of and more, you're onto a winner.
I went to St Aldhem's Academy when it was Kemp Welch, it was a very underfunded school but had a lot of heart. I loved it but it does have its problems - you've basically got three huge "estates" that converge onto the school, hence the reason it has the issues it does.
Industry wise, we've got a massive amount of banking, insurance and creative companies. We're a bit of a "hub" for all things digital and have our own "silicon valley" equivalent.
Come down for two weeks, take a boat trip to Brownsea Island, go for a massive hike through the New Forest and talk an epic walk from Bournemouth Pier to Sandbanks along the coast. Come down at the weekend when it's warmer and you'll get a sense of who we are.
We're a friendly lot down here and we've got the friendliness you'd expect in the South West without the "this is a local town for local people" attitude you may be afraid of.
Also - Bournemouth is very international, with lots of North African, Turkish, Spanish and Chinese people and businesses. You won't find better food anywhere.
You'll be very welcome here :)