I need some ongoing help with a Wordpress business listing site

General information for the website: Child daycare nurseries in the UK - business listing
Kind of development: New website from scratch
Description of every page/module: In early development stage
Description of requirements/features: The dev site is at: http://nede.ebbandflowcreative.co.uk
The website is a daycare nursery business listing in the UK. It will have 12000 entries.

I hope to import 12000 products using AIT themes business listing plus theme and their bespoke plugins. The only thing needed urgently is the search display and filters options. I added 1 product, so please search PO10 to view the search result.

My client is specifically asking how the search results and search filters should be layed out, which is different to the theme. The search is within locations, which I sorted. The search results should display the nurseries in a table (or similar list style) as there will be many displayed. Then the user can click on the filter headings of the table to reorder the list according to nearest first, smallest fees etc (like rightmove.co.uk). I attach an example of how this should behave. Also you need to do all work within a child theme to prevent losing it please in future theme updates. Good luck.
Specific technologies required: Theme development
Extra notes: