I'm not a graphics designer and idk any of the graphics related apps you listed except gimp but everything should work fine as long as it have a native Linux version. You may need to replace Davinci with something else though because it can be a pain to get working on Linux.
For distros, I'd recommend Mint because it's just pretty much the most beginner-friendly one you can get and it's quite conservative but it has very old drivers so performance may not be the best, EndeavourOS (based on Arch btw but quite stable) if you have very very recent hardware or if you want newest performance optimizations (driver versions) and Pop!_OS if you have an NVidia GPU. I wouldn't recommend Fedora or Ubuntu because the first one rushes major bleeding edge changes (including AI) and the second one is known for some questionable choices (including ads and pushing proprietary app stores with poor moderation).
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