Foam crafting tools advice needed

I've decided to get into cosplaying and thus foam crafting armor and props.

From the videos I've watched so far I gathered, that the essential tools are heat gun, dremel set and a mask for health reasons.

I do not want to spend too much on these tools, but don't want to buy too weak ones, so they are useless.

Anyway, what wattage of heat gun and dremel do you recommend for working with EVA foam?

And the mask, what type of filters will I need? Is dust/small particles enough, or should I go for gas filters instead to be safe?