Moving - transfer utilities/bills or start new accounts?

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At some stage in the next few months (hopefully) we will be moving house. When we moved into this property 7 years ago we ended all the utilities/tv/internet contracts which were in my name and started new accounts (mostly in my wife's name) at the new property. We were then able to quidco a lot of things to make some cashback.

Is this still sensible/doable? I have a couple of things I don't think I can do this with:

Sky - I get the F1 channel through my legacy HD deal so don't really want to lose this.
BT Broadband - I've recently had to sign another 12 month contract to avoid paying for BT Sport

Any pros/cons to simply moving our accounts for things like gas, electric and insurance?