How to hide search field in home page only

I already put the CSS to only show the “Near: Location” option on search, but as soon as I click on the search bar, before I even type anything there are lost of “IN:Locations” to choose from in the drop down, I don’t undeserved if the is just from my browser history or what?

Ok, so I able to remove the home location bar with this CSS.
body.home .gd-search-field-near {
display: none;
}

But in my search results page I still have the search bar at the top and the dropdown suggestion results are just inconsistent.
When I place the mouse on the search bar without typing anything just by clicking the mouse in the search field a get lots of suggestions “IN” City suggestions without typing anything, see “Search1.png” image bellow, why I have the CSS that is only supposed to suggest “NEAR” suggestions.
Now “Search2.npg” image shows that I can still select any of the “IN” city search results even though I have not even typed anything into the location search Window at this point.
Then I type “san jose” and I get three “NEAR” san jose suggestions see “Search3.png” image.
I select Near: San Jose, CA, USA and click on search see “Search4.png” for results.
Then I type in “San Franciso, CA” and as you can see in “Search5.png” there are no suggested results in the dropdown.
Then I type in “san jose” again and this time there are no suggested results see “Search6.png”.
Then I type “san jose, ca ” then I get “Near” suggestions for san jose, note that I only got the suggestion after a click space bar after typing “san jose” with out the space bar there were not suggestions, see image “Search7.png”.
Then I type in “San Franciso” and it is still showing me the same San Jose, suggestions it did when I typed in “San Jose” see “Search8.png”

So as you can see this is very inconsistent and confusing.

I will provide my credentials in a private message below so you can see my site and give me suggestions on what may be wrong.

Thank you.

Yes, You guys pointed me to the CSS that hides only the “IN” recommendations and I applied that CSS, but that is not working properly that is my whole point, that is why I included so many screenshots, so you can see even after I apply this CSS there are “IN” results by just clicking on the search box without typing anything, and there other times when there are “NEAR” suggestions and other times that the are NO “NEAR” suggestion when I type the same city at different times, so it is not working properly why?

OK.