Hello Friend,
I have gone through your project description. you want to fix search function and all the point. My understanding for the project is you are looking out to have your existing joomla website to be updated and make the fixes you have mentioned.
We are a 10 year old IT company with highly skilled designers and developers to work on php, Mysql, Jquery, Wordpress, OSC, Magento, OpenCart, Mobile development, iPhone, Responsive etc.
It would be better if you come to have a close discussion over chat .
Best Regards
Harpreet Singh