@Roger_Gooner is correct, you would need to cancel one of the accounts, and normally pay an early termination fee if still in contract.
However, there is good news and bad news.
Virgin are increasing their prices from 1st March.
If you are still in contract with either account and your price increases then you can cancel within 30 days of receiving the price increase notification from Virgin without any early termination fees.
Hopefully a new connection at the new property will be straightforward, although sometimes there are delays due to planning permission etc if VM need to do any extra construction work. IS anybody living there at present, and if so they have Virgin?
It might be an idea to cancel both accounts if able to do so without early termination fees due to the price rises, and then sign up as a new customer at the new property, so you receive the new customer discount, otherwise go through Retentions (thinking of leaving) and try to negotiate a new deal.
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you could terminate both accounts and start again at the new address - that may not give you a new customer deal as you would be a returning customer - you would need to check that as the address would be different but name and payment details may not be
but you might find a new deal woud be cheaper than either of the deals you have now - a chat with retentions might add some detail
dial 150 or 0345 454 1111 and follow the prompts to - 'thinking of leaving us' - dont worry about that they do much more - open 8am -10pm 7 days a week - should take you to a UK call centre