All depends on the cause of the soggy feet, if its water getting in, then water proof boots with water proof socks or liners do a good job, (wellies work well for everything but hiking, unless i'm plqnning on going in streams or bogs i stick with leather and gortex waterproof hiking boots), remember to talc ur feet before putting them on, and take time to clean, dry and powder your feet regularly; acid can help keep fungal infections at bay, everything from vinegar to pharmacy athletes foot shoe powder
If sweat is the issue, find yourself some good waterproof but breathable boots, along with good thick 100% wool and other special "wicking" socks, and or wool/wicking liners; powdering your feet and keeping them cleaned and dry as often as possible will help avoid fungal infections
Avoid cotton and synthetic socks (except specialist wicking versions)
Even with the right gear, although they will make life more comfortable, unless you take the time to clean and dry your feet once a day (plus once at night), you'll be risking fungal infections and various other ailments
Vinegar and talc are part of my nightly foot care,regime each evening, apply vinegar to the shoes, wash feet with it, then rinse with water, then powder
I leave athletes foot powders for when i've actually got an infection (havent in years tbh since i realize its avoided with a bit of care), the fewer chems we use the better imo; but athletes foot wont go by itself, foot care is essential