I have just been given details of a cheap parking company for Southampton port who are much cheaper than C&PS and AB parking, the two suppliers used by the main cruiselines.
Whilst the parking is not at the port, they offer the convenience of valet parking within the standard costs. You drive to the port and they will meet you there, take your car and park it and then meet you again at the end of the cruise.
For 1 week the prices start at £57 whereas C&PS charge £79.
Why not give them ago… www.looking4parking.com