I spent a lot of time trying to find a fitness watch that didn't use bluetooth or wifi because I don't want to be irradiated. The only quality one I found (that also tracked sleep) was a Garmin Vivo Smart. It does have blue tooth, but allows you take turn it off and synchronize with your computer through a cable if you want. If all you want is a step counter, there are a couple out there that are very cheap, but I can't say how accurate they are.
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I think I’m convinced on the vivo smart thanks!