There are tons of workouts and machienes desingated for women. I would start with free weights and a leg press.
The Aero Pilates machines are good for both pilates and strength and whole body training and work outs.
There are many different exercises that are good for strength training. Check out this site for a list of them: http://www.strength-training-woman.com/strength-training-exercises.html
Some good strength and cross training workouts can be found in magazines, workout shows If want to include some strength and cross training into my workout. What are some good workouts to add.
Calcium and strength training.
Yes, dumbbells are a good source for strength training. For strength training you will need to work on less reps with more weight and slowly increase that over time.
A smith machine is a device which is used for strength training and weightlifting within the home, so it wouldn't do anyone much good on a camping trip.
Starting Strength and Strength Training Anatomy are both excellent, in-print books that can help you plan and execute your weight training.
Strength training for women in women is very similar to men's strength training, as a different level. Good exercises are squats, push ups, sit ups, and free weights.
Assuming that you are eating properly and using a good strength training program, strength training will increase your muscle mass. Just look at champion bodybuilders, especially champion natural bodybuilders: they all became more muscular by doing strength training.
plyometrics.
Whether it be a Weider or Everlast or Valeo weight lifting belt you use for strength training, any of these trusted, durable and supportive weight lifting belts will be good for a beginner.
The American Counsel on Exercise advise you get a cardio machine like a treadmill which is easy to use. Strength training gear like adjustable barbells, balance equipment like wobble boards, Flexibility training gear such as stretching bands and a personal trainer.