Lifelong eczema sufferer here…
The last thing you wanna do is use talc (this will dry your skin – the exact opposite of what you want) and deodorant will likely cause problems with the chemicals and perfumes it contains.
No two people with eczema are affected the same way but i get on very well with washing pads in non bio after every use. Mine are 661 Kyle Straits and they rarely cause me any issues.