I need a search box added to my website that can search different course elements

General information for the website: We sell courses (personal and professional development) online
Kind of development: Customization of existing website
Num. of web pages/modules: 1
Description of every page/module: I need a custom search box built on my existing site: www.discovery-training.co.uk

It needs to be able to search the current site and identify courses that can be narrowed down by the search box.

The box will need to narrow down by:

Search word (i.e. First Aid)
Price (on a sliding scale)
Location (input of a city or postcode)
Sliding scale of search area from location (ie. 10 miles).
Facilities (tick boxes of "Car Parking", "Wifi",)

The box will sit above the course calendar on this page: http://discovery-training.co.uk/calendar/

The search must then produce a list of courses that will appear on the calendar.
Description of requirements/features: It must appear in the current branding and colour scheme of the site.
Extra services needed: Customization
Specific technologies required: Wordpress Knowledge
Extra notes: