Just done exactly this on a LP - previously on a PRS SE245. Hopefully, you'll get this before making the same mistakes as I did. For ref I was an electronics engineer many moons ago - so no stranger at all to soldering etc.
However -
The Alpha switching pots are fiddy little buggers - very little space to solder on the tags on these things. CTS make a pot with a much easier access switch - two big lugs on the bottom. All you are doing when you split the coils is shorting the middle wires to ground (earth) when you pull the switch up. So you really only need two poles. I used these pots on the SE245 and it was no problem - apart from having to file the holes on the top out a bit for the thicker shaft - again quite easy with a round wood file.
Another issue with the Alpha switches is that they are very flimsy - I was tightening the nut on the top of the pot shaft and was inadvertently twisting the whole thing on the other side - the wires are fixed of course and the twisting action pulling on the wires actually pulled the switch section apart without me noticing it. I even tried to rebuild the switch - it's a simple mechanism but very small and too fiddly to fix. So - always brace the dam thing on the other side when you tighten the pot nuts on top.
So that was the SE245. Wise to these issues - I bought CTS pots with the big robust switch on the bottom for the Les Paul. Mine has the ground plate inside the cavity which I retained. However - the CTS pots were billed as 'medium shaft length which I thought would be long enough to go through the plate and the maple cap. Guess what - it wasn't. It wouldn't even go through the cap on its own without the plate. Stung again (£12 each the b'tards) - I had to then buy long shaft Alpha pots (complete with the shitety little switch).
Much swearing and fiddling later - I got the thing installed and it works fine in terms of splitting the coils - but I have to say - and its the subject of a different post - I wish I hadn't bothered because the abraxas set that sounded good in the SE245 is pretty poor in my LP - I am going to end up taking all of that cr@p out and putting the original pups back in.
You might have a different taste/experience - but mechanically, watch out for those flimsy switching Alpha pots. Check the depth of your maple cap on your LP and if you can get away with the CTS ones - go for those - much better.
