Yes elliptical trainers a very good for cardio. The ellipticals
without handles still offer a wide range of exercise. This will
still give you a nice full workout.
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Honestly, you get what you pay for. I would skimp on the "cheap"
form or workout equipment and get a nice solid and sturdy one that
way you only have to purchase it one time and not worry about it
breaking down every other day.
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A heart rate monitor isn't necessary, it's simply a nice thing
to have but won't impact your workout at all.