Interactive framework on the same page

Hi,

I will put on my web page WordPress more information like this : a search button on my page which returns a list of results in the same page,
How can i do this ?
1-coding in php, html and javascript in my page
2-or use existing widgets ?
3-or develop my own widget ?
i don’t no ?
Thank you for your help?

My configuration :
– WordPress version : 3.5.1
– Version of PHP/MySQL : 5.4.4-14 / Ver 14.14
– Theme : Responsive
– Extensions en place : Allow PHP in Posts and Pages, Contact Form 7, Easing Slider “Lite”, Exec-PHP,
– Nom de l’hebergeur : OVH
– Adresse du site : http://localhost/…
– OS : Debian 7