I'd think it really depends on if you want to be a little more rural or closer to the city.
Newton hall as mentioned is nice, safe enough and within walking distance of the city centre.
Consett is nice, has a lot of snow! Further away from the city centre but there are plenty of shops etc on your doorstep. Particularly a lovely farm shop called Knitsley farm shop which has a little cafe too.
Lanchester is gorgeous, they have plenty going on there, some nice restaurants, a few shops and a lovely village green that gets beautifully decorated at Christmas.
Bishop Middleham is a little village close to sedgefield. Great community feel, pretty safe. Only one post office/shop and a pub but close to a large supermarket, nice walks.
Sedgefield, beautiful, fairly expensive, shops, restaurants , a pub which Tony Blair once took George Bush. Close to Hardwick Park which is gorgeous for a walk and has a little cafe.
Durham is beautiful, I think you would be happy here.