I insured my car with tescos and paid quite a reasonable price (£1062 fully comp with legal cover for a 1.2l punto, online). I spoke to someone else i know and they said that tesco is quite good for new/young drivers.
It was easy to use when i got a quote on the internet too. I tried a couple of comparason website (go compare, money supermarket and confused.com). They were all not too bad but came up with expencive quotes. Confused.com was the worst- it was so hard to use and gave me really expencive quotes.
I would really recommend trying tesco.