I think it's nearly impossible to get a good workout by simply using machines. A lot of strength and mass comes from growth of the slow twitch- stabilizing fibers in your muscles that free weights, particularly dumbbells, provide.
If you're wanting to ease into lifting, I would suggest just light free weights and a lot of "own body weight" resistance lifts (dips, pull-ups, push-ups, and if you are particularly ambitious lunges, sissy/single-leg squats, squat thrusts).
Make sure you aren't one of "those guys" who just does chest and arms! Do a leg day, and don't neglect your back, shoulders, and traps. If you're wanting to look broad, those last three are the quickest.
Plus free weights are a lot more fun and are a generally more satisfying experience. You'll learn the fun part of lifting and be able to impress the hot girls at the gym after 3 weeks or so. Stick with it for a little beyond three weeks and you'll start to see results, and you'll never stop after that.
