Uniting two weak colonies is seldom the answer - better off uniting to a strong colony. But as for method - newspaper unite - gradually move the colonies close to each other. Select the queen you want to keep and make this the 'bottom' colony. Squish the queen in the 'top' colony put a sheet of newspaper (anything but the guardian - don't want to offend the bees) over the BB and put a QX on top make a few small holes in the centre of the paper then put the Q- colony on top, they should chew their way through in 24 hours and be one happy colony, if there is brood in the top box either wait for them to emerge before rationalising the whole setup, or if the sum total of brood is less than 112 frames, go in in a few days, consolidate the frames so you have one single BB. Simples
Funny hives they must have in Wales! (I'm sure he meant 11, or 12 if you really mush squash them in.)
You'll find different advice about which colony should go on top (Q+ Q- stronger, weaker …). The variability leads me to think that its not massively important.
The practical thing is that the bottom hive (with the entrance) isn't moved for the unite. Move one colony to be on top of the unmoved colony.
I set up in the afternoon (newspaper, QX (+optional coverboard) and roof) , and do the move at dusk (when everyone should be in their hive).
At dusk it is then simply a matter of uncovering the prepared QX on the unmoved hive, make a couple of tiny slashes
through the paper, take the roof off the other hive, then hive tool crack the (moving) brood off its stand, and "with one simple movement"

lift the moving brood and its coverboard straight onto the exposed QX. Bee jacket & veil, but no smoke needed as no bees are uncovered during the late evening part of the operation which should literally only take seconds for the lift. (OK, a no-hole coverboard may possibly help, it usually does!)