Add search and filtering to a list page

Add search and filtering to my [LIST PAGE, e.g. the products page] in my [FRAMEWORK] app. Right now it just shows [WHAT IT SHOWS].

Add:
1. A search box that matches on [WHICH FIELDS, e.g. name and description]. It should be case-insensitive and update the results as the user types, debounced so it does not fire on every keystroke.
2. Filters for [LIST YOUR FILTERS, e.g. category, status, price range]. Multiple filters combine (a result must match all of them).
3. A sort control for [OPTIONS, e.g. newest, price low to high, name A to Z].
4. Pagination or load-more if the list can get long.

Behavior:
- Reflect the current search, filters, and sort in the URL query string so the view is shareable and survives a refresh, and the back button works.
- Show a clear "no results" state with a way to clear filters.
- If the dataset is large, do the filtering and pagination on the server or in the database, not by loading everything into the browser.
- Keep the current design. Add controls in a clean toolbar above the list.

Tell me first whether you will filter client-side or server-side for my case and why, then build it.