Solent School of Flying is the place you want.
Thanks, I check their website, looks great. Regarding other flying clubs around Bournemouth, I don't think I'll be able to move by car during my stay so I think I should consider a locally based club.
Is it possible to find a free chart online with local airfields and airports of the area? I did check the link from NATS but it only depicts the major fields of the UK.