Well if you've soldered two wires together then there should be no measurable resistance between the two ends so it's just a matter of finding the other ends of the wires and putting the meter across.
That's not always possible with pickups though so you're probably better off desoldering the hot wire and measuring the total resistance across the pickup from the end of the hot wire to where it's grounded. Check the manufacturer specs for DC resistance but remember those values are only approximate so as long as it's within a few kOhms then you've made a good solder joint. Jiggle the soldered wires a bit, if the needle doesn't kick then your joint is holding ok.
Oh yeah, I'm not a fan of lead free solder either. Try your local Maplin store or similar for the proper stuff.
woah, not reading posts again, Maplin only do lead free? shop online!