Where in East Yorkshire?
I would recommend York Flying School at Breighton. They have people who come from Lancashire and South Yorkshire to learn to fly there, as they are reasonably priced and don't believe in ripping anyone off. If Breighton is on your doorstep (you don't say where in E Yorks you are) then it would definitely be worth you having a look.
Also, with Breighton not having any controlled airspace or landing fees etc, you're not getting messed around leaving/entering a zone or MATZ each sortie. You can just take-off, climb out and get on with learning to fly.