The freephone number covers all TRA's and temporary airspace upgrades, including Royal Flights, Red Arrows, and any other TRA's. It is recorded each evening at around 19:00 local and will be re-recorded if an emergency arises (e.g. Soham and the Hatfield rail disaster, both of which generated emergency TRA's).
The stuff it covers is also in the NOTAM so you don't need to do both if you don't want to, however some may want to as a belt and braces answer.
Mike