One good aspect of thinking when dealing with gods is that you have to think of what they do and what they have done to your world. Take the gods we have now: for the Norse, they believe thunder storms in harsh winters were Thor battling with ice giants. The ancient Greeks believed the gods favored them in battles and bless them with powers (when in fact they mistook this for really being adrenaline kicking in)
Events or landscapes that mark the world can very well be the work of gods, if nothing can be explained scientifically, it is in the realm of the gods to influence the backstory of it all.
- A massive volcano erupts, but this time lightning is coming out of it? There must be an epic battle going on in here!
- I'm having reoccurring dreams? The gods must be telling me something!
- The moon has turned red! The gods have forsaken us!
Really, just take a look at how history portrayed a lot of events back then. It's only through the reasoning of the culture in the area to determine who or what is going on. (Or in this case you) It's only a matter of filling in the blanks of why a god would do such a thing in the first place.
On a side note now:
If you're up for a good challenge, try reading into J.R.R Tolkiens The Silmarillion (Or at least tidbits of it) There you can find diverse selections of gods and how they came to be and what functions they made for themselves.
I would also highly recommend looking into the gods of H.P Lovecraft as well; in which creatures like Cthulu aren't truly gods, but inter-dimensional beings that the human brain can't comprehend.
Try looking up summaries of these gods on youtube, they can be rather enlightening 