Add a custom Search Form to Website (Replace Plugin or Theme)

Our client would like to add a search form to his website - earazi.com. Its a wordpress website. The search form should be similar to zameen.com. Developers tried filter option ( our client do not want) and search form, both are now on the main page, and both are not working.
what he wants is

to add a custom filter, you may need to use ajax , js, html,

at the moment the property adding / field hooking is a mess. You are free to redesign the property adding plugin from scratch. When adding a property we need the following

Listing Type ( Sale / Rent)
Property Type (Commercial / Residential / Plot)
Property Size (Kanal / Marla / Sq. Yds/ Sq. Ft)
If For Sale - Sale Price
If For Rent - Monthly Rent
Property Location (City / Society)
Contact : Link to Agent / Link to Agency

we need a similar search form as it is on zameen.com , the search results page should show matching results, based on city, society, property type, size, price

you may rather prefer to change the theme, or add a plugin to replace the current property plugin , open to discussion, need a quick fix, within 3 days. is it something you can help