Shotton is closest but maybe Chester (which is only slightly further) has more options?
It's a bit of a mixed bag.
From Eureka, Capenhurst is the quickest station to get to, it's about 2miles, has an every 15minutes or so service to Chester or Liverpool. If you go to Shotton, you can pick up a Manchester Piccadilly train. but you may have to wait a while. Chester is probably you easiest bet for best onward connection, but it's probably a 45minute easy paced ride.