Reviewed your project description and understood the basic requirements of the project.
Yes I can give you very good design responsive website including all the features what you want.
Now let me know do you want to use any wordpress theme ow the design will be custom?
I have very good experience in website designing and development using WordPress, PHP, MySQL, Ajax, HTML5, CSS3, bootstrap,jQuery, JavaScript etc..
I can give you very good design and well coded responsive works. Website will be W3C validated, cross browser capabilities and well developed.
Lets discuss more details..
Regards
Esha