When I first search for a place, it's always:
1. (Micro-)Location
2. Home type - always Entire place for me or at least Private room with ensuite bathroom
Then come:
3. Amenities, like WiFi, depending on my length of stay also Kitchen and what I feel like needing at that time
4. Price, after I can compare what I get with my filters
5. Photos
6. Reviews
If nothing in my budget shows up for all the amenities I first add, I remove the amenities that I don't really need and search again in the price range I think is acceptable for me.
Photos do invite you to open up the site, and after that you can read the reviews if you like what you see.