250K pots as they are both single coils (though one of the P-bass pickup's split coils is RW/RP to the other one to give it noise-cancelling/humbucking properties).

If you can get them in Australia, it's worth trying a set of these Peavey bass strings as they are designed for 35" scale basses https://peavey.com/products/index.cfm/item/973/81497/

Here are a set on my rear-strung Peavey Cirrus EXP (which was quoted by them to be 35" scale but measures at 34").

Click image for larger version. 

Name:	Peavey headstock small.jpg 
Views:	221 
Size:	699.8 KB 
ID:	27898

You should be able to see where the string thins out. If not, I've marked the end of the thick section on this version. The G string stays the same diameter throughout.

Click image for larger version. 

Name:	Peavey headstock small_LI.jpg 
Views:	224 
Size:	696.4 KB 
ID:	27899

I haven't tried a huge number of bass string types, but they feel reasonable to me.