My vendor offers a widget creation service where I can login to their page, set initial values of a search form, after the save button is clicked, I can copy & paste the script code on my website to display a product search result widget.

I am thinking to change this static widget to a dynamic one. Since my programming knowledge is limited, can experts tell me if it's possible to login https remotely (using cURL) and set search form values equal to values on my page (every time my page content changes, it will change the form value), then save the form. So the widget script I pasted on my page will always be refreshed to new search result.

So the issue will involve cross domain, form submission & server/browser communication. I know a little jQuery, PHP, Ajax, cURL but so far I stuck with just having an idea but not really sure how to implement it.