As a postscript, the rust is not likely to hurt you anyway....don't toss them for a bit of rust. Will probably give you some extra iron. Just my opinion, I have used hand can openers exclusively for years and I am still here.
Vinegar will clean off rust. Soak just that the cutting part in vinegar. You can also use WD-40 to remove the rust (and then clean & dry thorougly). Also, scrubby powder and a scrub pad (the green ones) and then clean and dry thorougly. The best bet is never to let it rust heavily (they all seem to rust eventually) in the first place. Wash and dry the cutting part thoroughly (by hand) each time you use it. You don't have to wash the handles every time...if you worry about germs on them, spritz with rubbing alcohol, vinegar, etc.
We've had this U.S.A. made Swing-A-Way for fifteen years and it shows no signs of wearing out: around $9 online. Here's a link to a picture I found that most closely resembles ours.
All I do is rinse it off under hot water, dab the excess water off with a towel, put it in the dish drainer to air dry before putting it back into an enclosed drawer. Hope that makes your life easier!
One thing I have noticed: you know when you use a 'regular' can opener and you hear sound of air escaping from the hole being punched in the lid so you know the can opener has grabbed? I notice this one not doing that, but instead of thinking 'it's going to work' if I start to turn the handles it just starts cutting away. Read some reviews online & see if it would be better for you.
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