I don’t actually own my shares, advice?

Just done a little bit of research and realised my broker issues my shares via CFDs, I am planning on holding for 5-10 years. Is it worth switching to a different broker to have actual ownership of the shares? The only thing scaring me is paying tax on the realised “profit”.

Is it worth making the switch of is the CFD just as good as the real deal?

Edit: thanks for all your help. In the process of Switching to a real stock broker today