Hi
As above, some will take into account your previous driving history so do search them out and ask.
What you will quickly come to see is the insurance situation for car's is extremely topsy turvy and you MUST shop around for the best prices. My renewal came up about a month ago and I had quotes ranging from the excellent to the beyond utterly insane (£780 - £3750!) eventually settled at around £805.
It depends on allsorts of criteria, the type of car it is, your age, address and postcode, occupation, type of cover, useage, garaged or drive or onstreet overnight... etc etc.
So ultimately, comes down to how fat your purse/wallet is !
Cheers, DtM! West London & Slough UK!