Hi Steviesgirl
The Folk Museum at Hutton le Hole is wonderful- very near Kirbymoorside- lots of space ouside for children to run around, a witch and cat in a little house- great for all ages really. The stream and which runs through is great for paddling/fishing nets.
Lovely cappuccino at The Penny Bank in Kirkby too.
From Kirbymoorside, you can drive up to Farndale through Fadmoor( great pub food at the Plough) or/and Gillamoor (ditto The Royal Oak.)
Farndale and the other dales- Brandsdale and Rosedale are beautiful for views/sheep/heather etc. Rosedale has an accesible stream for fishing nets/paddling and teashops.
A fab day out is Dalby Forest. It is amazing- a wonderful play area, river/paddling/barbeques/lakes and a good visitor centre. It really is a spectacular massive wild place- but also has play areas, lake etc.
(Take a picnic- cafe quite expensive.)You pay £7 I think- not sure as we have a pass, and all the play stuff and wonderful scenery is there. They also have a GO Ape thing there if your kids are old enough.
(Thornton le Dale is a nice village- with one of those pottery painting places if it's wet. You turn off there to get to Dalby Forest.)
Castle Howard has lovely grounds and a good play area too.
If your kids and/or you would like a gentle horse/pony ride in woods and hills, however inexperienced, there's a place at Hawnby above Helmsley called Shaken Bridge farm
here
Pickering and helmsley both have good castles.
And of course the train- which goes to Whitby- though this would take a long time.If you get off the train at Goathland- the walk to Malyan Spout waterfall is worth it- depending on how old the children are. Goathland isn't much other than it's where Heartbeat and Harry Potter were filmed.....
The old railway track that runs around Rosedale is a great walk/bike ride too- amazing views. It starts at Blakey Ridge/Blakey Bank ( The Lion Inn is a good pub for lunch- a fab position- perched betwen the two dales)- Quickest way from Kirkbymoorside is to carry on beyond Hutton le Hole.
Whitby is lovely, Sandsend is a nice village with half stoney half sandy- when the tide is out- beach, and good rock pools, with a couple of nice cafes if the weather's good. The good thing is you can park right next to the beach- (the further away from the cafe, the more steps)
Scarborough is tacky but still fun- North Bay has rock pools, main bay has the slot machines, fair and donkeys.
Oh I've really gone on!
This is my patch as you might have realised!
If you tell me the ages of your kids and what you like doing i could even go on!