If going by train I would suggest going from London Waterloo via South-West trains as Southern rail are on strike and part of their route will be bus replacement.
Advance tickets currently £9 each way via south-western from Waterloo.
I drive to Basingstoke (parking only £4 all day) and either get a South West or Cross Country train direct to Fratton.
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I drive to Basingstoke (parking only £4 all day) and either get a South West or Cross Country train direct to Fratton.