The trainer that shows you how to use the machines does not usually set up routines for you. What he is doing is more of an orientation. They usually have you work with a very light weight, just to show you know how to adjust the machine to fit your body. They also show you how to perform each exercize. (this service is usually a one time only freebie at most health clubs)
You should pay for a personal trainer, and have him set you up with all your routines.

No, I don't recomend you lift weights 6 days a week. Your body needs to heal. (All your gains in strength are made while you are healing.) Lift 4 days a week maximum. Do a short (15 to 20 minutes) but intense cardio session after you lift. Do longer, less intense (30 to 45 minutes) cardio on your "off" days.