Pickering Trout Lakes
A place I've wanted to have a try at fishing when I was younger, and only ever visited via a Primary school trip to the local trout farm that runs & stocks it.
It's not exactly regarded as a purist's venue, said by some on popular fishing messageboards it's so easy there you could catch while blindedfolded & no bait on the hook, and also rather pricey as you have to pay for the fish you catch in addition to the dayticket.
Nevertheless, it should help you kill some time.......... and should be a more than easy enough spot to take the kids if introducing them to fishing before moving them on to proper coarse or game fishing.
You can also see the Railway line approaching the NYMR's station at Pickering
See Also:
http://www.fishing.co.uk/article.php3?id=737
http://yorksfishing.proboards4.com/index.cgi?board=game&action=display&thread=7361 Fly fishing gear, or floatfishing gear (e.g. spinning rod or 12/13ft match rod with waggler floats, etc)... though apparently equipment is available for hire on site (for a fee).

The Chapel
and the Ironmonger.
Flea market
Fancy a pint?