How to pass a category name in a link

Here is what I am trying to accomplish.

I have a page that has 2 links on it.
They go to two different categories of a custom content page
LInk 1 – Neighborhoods In Town
Link 2 – Neighborhoods Out of Town

The custom content is called “neighborhoods”
neighborhood categories are either “in_town” and “out_of_town”

I have a single-posts page that runs a loop that displays the data for each custom post – this works great

I have a page (intown) that runs a WP_Query that displays all the custom content posts
– this page works correctly

My question is this:
Instead of creating two pages – one for intown and one for out of town — how can set up the links to show results by category?

for example:

when I click on the intown link – I want this to go to the intown page and display all the results for neighborhoods custom content with the category name of intown

and when I click on the outoftown link – I want this to to the intown page as well and display all the results for neighborhoods custom content with the category name of outoftown

and suggestions?

thank you!