Hi,Rob....very easy. NRM adjacent to York station.Very frequent fast train service on ECML North to Darlington where you Change trains for Shildon.If you are staying in York....and who wouldn't....fabulous city,then the option by car is up the A59 onto the A1 and then branch off North of Darlington...boringly interminable and some roadworks.Please be warned that parking in York is very expensive and will add considerably to the cost of your stay,unless your hotel/accomodation has cut price parking deals...enquire before you book .
The train takes the strain.Check for fare deals...perhaps a railcard.Look on Northern Rail,East Coast,Trans Pennine ,Cross Country websites.When using our rail network...plan ahead.Above all,welcome and enjoy.