Search function on Wordpress shop

I have a Wordpress shop using Woocommerce that has a lot of items.

I would like a shop search function other than the standard search that is working slow as it search for the term by passing server request and display data through AJAX.

I want a better solution to show suggestion as User type on search box - similar like we type in Google and got suggestion. So user can click on it and it display result and this same search can be implemented on the homepage above the four shop buttons.

This solution will be quicker rather than user to wait for Ajax request to pass to server and then display the result.

I am looking for offers for this project.