Use a high quality switch for best results...
The pickups sound quality is at the top of the list of my guitar rewiring priorities. PAF, Super Distortions, or...I'd go with HB's...in my LP the neck pickup has multiple coil taps, I drilled a hole for the switch between/above the volume controls, but would have opted for [had I known] a push pull switch/pot.
Because It's a LP, I'd try going with LP type HB pickups, I'm not that choosy about the 'type' of pickup, but the quality of the tone of 'cheepies' I AM picky over...if you're messing with it, might as well put something 1rst quality...some of the newer-ish guitars have 'lesser' pickups..I do an A/B test with a LP original or can basically just tell from experience if 'hot' applies to pickup tone...
General upgrading of wiring is recommended. The wires I got in my recent Epiphone Gibsons is so small and cheesy, it's like soldering hair...the wire is so thin it's hard to strip the ins. off without breaking it, so thin it doesn't hold shape enough to be held in place, by the time it's hot enough to shed the solder the insulation gloms off of it...hideous...old Gibsons have thick wiring, Much Much way ez-er to work with...and...doesn't break off after a month or so. Some of these newer guitars have barely enough copper in them to work 'till sold....that's why I sold my DOT...I got it to work again and glued the jack where it worked...chintzy wiring can ruin an otherwise excellent axe very soon, or eventually in my exp.
There are rewiring kits available at Stuart Macdonald, it is probably worth considering to upgrade the entire wiring system if the guitar plays well.
I haven't done this to my LP Epiphone Gibson, and it has no '0' available on the volume controls, has been re-pickuped [Dimarzio PAF and Split Coil neck HBPU's], and has been 'fixed' 3 times so far...the switch still works