I'm about as incompetent on electronics as they come, but I would assume the pots would remain. It's just a bit of soldering as far as I know, but as I said, that's not much.
The pots can stay. Just solder in the new wires to where the old ones came off. Keep blk/blk & white/white & get a good ground. P~bass is nearly the easiest p'up swap there is.
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Christian praise&worship bassist club member #115