The key to new/unlisted keywords is that under this guide, they would always initiate in step 2. Then they would be carried out according to the rules in the rulebook for that specific effect.
Prowl happens "when it is revealed". It would be carried along with Wingfoot I think. I should probably rename that step.
Hide also happens "when it is revealed". In accordance with the rulebook, this must resolve before Step 5 (Resolving the when revealed effects). So this is also in the Wingfoot step.
I feel like "enters play / enters the staging area" is the same trigger, unless you can find a ruling that separates these.