Thank you for your kind words!
From what I can see it's some kind of a custom made engine they are using.
Unfortunately you will need some custom coding/plugin to achieve anything similar. One way I can image this is maybe using some kind of “tab” visual shortcode and placing 4 different search instances into each tab content. I believe Visual Composer plugin has something similar built in.
I'm assuming the buy, rent, sell, estimate are categories – in which case you could configure each search instance differently, to search only within the given categories/terms (on the Advanced Options -> Exclude results results panel).
If the layout is not strict, then another possibility is to create a category filter and use the search shortcode and the settings shortcode together. You can use the shortcode generator as well, to help you position the search and the settings box.Best,
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