Bartolini quad coils - rotary switch help

I'm intending to replace the MEC soapbars in my Warwick Streamer Stage 1 with Bartolinis, and am leaning towards the Quad Coils for the option to switch them between P/humbucker/reverse P

Original Quads Archives - Bartolini Pickups & Electronics

I'd rather not drill another hole in the bass for a selector switch though so would ideally switch between these three modes using a rotary selector switch and free up a pot by switching to a stacked bass/treble tone pot.

The bad news is I'm a complete novice at this sort of thing but am keen to learn rather then send it to a shop... Having a Google for selector switches throws up a lot of options, but this site seems to have a lot of options for us Brits

3 Position 4 Pole Rotary Switches | Mouser United Kingdom

I obviously need a three position switch, but how many poles? Would any of these switches be suitable? I'm guessing maybe either

https://www.mouser.co.uk/ProductDetail/Grayhill/56A30-01-4-03N?qs=sGAEpiMZZMvNbjZ2WlReYhndqMY8foDImwjdK1hizNk=

or

https://www.mouser.co.uk/ProductDetail/Alpha-Taiwan/SR2511F-0403-19R0B-E9-S-W-159?qs=sGAEpiMZZMvNbjZ2WlReYnXCw5Ewy7NZUAIyl7Xvavo= ?

For info the Quad Coils use 4 conductor cable



Thanks very much in advance for your help!