I have had good success with Evaporust on the rust around the handle and other welds. Use a nylon detail brush or tooth brush. Dip brush in fresh liquid, scrub, repeat.
You can also fold a paper towel up 3 or more times and soak it with the Evaporust and wrap the rusted area. Use magnets to hold the paper towel to the area if necessary. Remove and try the brush technique again. Repeat the soak, wrap, brush process. This will remove or loosen the rust and you can finish with steel wool and Evaporust if necessary.
This process worked well for me on a couple clean ups this summer.
Trying to find some before and after picts.
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