iib0011/omni-tools ? reverse-engineered prompt

Build me a self hosted web app that works like a handy all in one toolbox in the browser.

I want a clean homepage with a bunch of useful everyday utilities, like image resizing and conversion, simple image editing, video trimming and reversing, PDF splitting and merging, text case changing and formatting, list shuffling, date and time helpers, basic math tools, and JSON, CSV, and XML helpers.

It should feel fast and simple to use, with each tool opening in its own screen and working directly in the browser so files do not get uploaded anywhere. Make it look polished and easy to navigate on desktop and mobile, and include a light, modern interface with icons. If you need current details for any browser libraries or best practices, look them up online.

Also make it easy to run locally or with Docker, since I want something I can self host without a lot of setup.