Most browser tools accept MP4, WebM, MOV, and AVI. The output is usually MP4. For compositing in Premiere, Final Cut, or DaVinci Resolve, you want an MP4 with an alpha channel or a version with a solid chroma-key color.
Alpha-channel MP4 is not universally supported. Some tools export a version with a solid green background, which you then key out in the editor. Check the export options before you process the full clip, because reprocessing wastes time.
Audio is usually preserved. If your tool strips it, you will need to reattach the original audio in your editor. Always check the output file before deleting the source.