Fly to your intended destination.
It must have a shipyard
Dock, open up the shipyard UI, and tab over it transfer.
Then select the ships you want moving.
It's rather expensive, and a bit slower than doing it yourself.
go to shipyard, last tab -> ship transfer. you can only transfer to a station where you are at and has a shipyard. and you can only have 35 ships at one station.
I love threads like this, where people ask questions and they get helpful advice that they're grateful for - they're why I still hang around in the forums.
Someone will probably ninja now this with a comment about ship transfer being too expensive or taking too long.