Which to choose really depends on how much time you have.
If you are just doing a quickish visit and can only get out for one day I'd bite the bullet and go to Martin Mere and spend all day there. It will be worth checking their website because they do/did use to put on "Specials" in January & February. In essence they let you in at some ungodly hour, 6AM or 7AM IIRC, but you got to the hides at first light when the birds were flying in. Restricted numbers (20/25) so plenty of room in the hides. Then a full English breakfast and you could then wander all round the reserve before the public were let in. Last time I went it cost £25 which I thought was reasonable.
Wherever you go it will be difficult for the family. Martin Mere has a children's play area etc, but that won't keep anyone amused all day. The other places have next to nothing for families.
Might be a bit harsh this, but if you are taking wife and kids then leave the camera gear behind. Or take the camera gear and.......
If you want to take family and gear then I'd go to either Yarrow or Meresands. A couple of hours to get round either. You've little alternative but to keep on moving round the reserves which will stop boredom creeping in and you'll be able to run off a few shots, but nowhere near as many or as varied as a full day at Martin Mere.
Where abouts in Chorley are you going?