Oh, and for the record, I think off-hand that the part of the mortgage on the second property is a BTL loan -but it must be the cheapest money I've ever borrowed, it's peanuts really. I've not really done the maths though.
Check the price of using equity from your own place (compared to mortgages on offer).
And then just look at buying the new place with a mortgage as if you were going to move into it. You're not doing it as a buy to let anyway.
(obviously I'm not an FA, so this advice is simply what I'd do, etc etc)