Hi, Yes we do website editing.
We are a 15+ years-old Software and Web Development organization, based in Largo, Maryland, USA with 127 in-house experienced developers and designers.
Reviewing your description we have understood all your requirements. We would to like to propose you to build the site from scratch using custom PHP with CodeIgniter MVC framework. However, we are open for any CMS or Framework. All latest frontend technologies like HTML5, CSS3, jQuery, Angular JS, AJAX etc. will be used.
All core features such as Cart, Wishlist, Sorting, Various Category, User Account/Registration, Sign In/Up, share in Social Media etc. will be integrated within the site. The site will be Responsive (mobile Friendly), hence it will be working on all devices, and cross browser compatibility will also be there.
You will be provided with an ADMIN PANEL so that you could manage/update the site anytime you want. We will assist you to launch the site and you will be given 3 months of Free Service after the launch.
We are upbeat to kick off the project asap and are keen to hear from you soon.