Another option is
electrolysis. For the very-modest price of a DC transformer ("
Amazon it"), and various other parts and laundry chemicals, you can, in a matter of a day or three, remove rust from anything.
Including "oddly-shaped" things. (Museums use it to clean-up
cannons and other artifacts.) The rust is electrolytically
transformed(!) into a black powder that washes off, and the underlying metal is unaffected. (Museums care because it preserves
inscriptions!) Plenty of online resources show you exactly how to do it. If you've got the patience, it works great.
And then, as
shotsky
stated above,
immediately re-season them to avoid "spot re-rusting," and to prepare it for re-use. Whatever process you normally use – but don't
delay.