The smoke from soldering isn't lead - a soldering tip is (if it's not literally glowing into the yellows) far, far too cold to vaporize any lead from solder - you need to be 1500+C for it to start being a problem, and you're not soldering that high. It's rosin smoke, and if you're in doubt, leave your iron in a puddle of solder - it shouldn't smoke, it should just sit there liquid after the initial rosin has burned off.
The rosin smoke isn't great, but it's not a lead toxicity issue.
Your concern is lead on your hands from the wire, and then eating afterwards without a good scrubbing. I don't think it will penetrate your skin, but you could always wear a pair of gloves if you wanted. There are some shooting sports soaps that are designed to help really rip any lead off your hands, so you might use one of those if you're concerned.