Search Type 1:
Style 1 or 2 is controlled from Theme Options – Advanced Search
Same search can be used as Widget or Shortcode, which includes additionally the price slider.
For Advanced Search Results (half map), Properties List Half Map and Taxonomy Page Half Map we have extended search fields options which search/filter properties in the same page:
Advanced Search results Half Style requires header is set to Google Maps. If you don’t have this header set as global, then make sure page header is set to google maps and you type in lat and long coordinates.
Starting version 1.15 you can replace auto-complete from Google Places from search with an auto-complete from countries, cities, areas, and states saved in the theme database – help: http://help.wprentals.org/2016/04/18/how-to-enable-advanced-search-with-theme-auto-complete/
How to enable google places from Theme Options – Advanced Search settings: