You didn't say what you already have but if you don't have a treadmill .....that would be good. Also one of those big round ball's and some cd/videos work great for abs and butt. I have a pilates allegro machine and love it. It is all about your core muscles. You can see them at
www.pilates.com. Pilates can be done with styrofoam tubes, rings, the ball and also there are mat pilates. Winsor pilates are great.....Kathy Smith and Denise Austin have some good pilates videos too.
Another good series is Tae Bo by Billy Blanks. That will take care of your abs and butt too. Good luck!!
Oh didn't want to omit your elliptical machine and some free weights. Great idea !!