Hi Angel, i note you asked for some easy to get to sites from the north-east, from your friend in the north-east (!!) i would suggest C&CC site at Keswick. We've been there a few times in the past 4 years and our kids love it! It's on the shores of Derwent Water, which is very shallow and ideal for kids to paddle in.
Within walking distance of the centre of Keswick, which has a supermarket, family friendly pubs, for the kids there's the Pencil Museum and a Car Museum, which they'll enjoy.There's loads of lovely villages in the surrounding area too.
The site itself does tend to get booked up quite quickly during peak periods, but i would recommend booking a hardstanding pitch, as it does get quite boggy when it rains.
Usually takes us a couple of hours, easy to get to, A1, A66 and you're there. Another one is CC site at Troutbeck Head, just off the A66. Lovely site and facilities, but about 9 miles from Keswick, so if you want to go anywhere you'll have to drive.
Hope this helps!!