Mortgage port to new house

Looking for some basic advice.
I'm lucky to have some money to pay off my mortgage.
What I'd like to do is help out a relative but without just giving them a property.
I'm looking to port my existing mortgage of approx. £100,000 to a new property.
By doing this, my current house would be mortgage free, and my relative who (under the current climate) wouldn't have half a chance of a mortgage but is in the position to pay for it.
Is this possible ? the mortgage is variable at 2% over the base rate for the life of it. Would this be the best option ? anyone with any better ideas ?
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