It’s ‘faster’ if you have already got a passport as it allows use of the Government gateway and as others stare the use of the pre approved passport photo.
otherwise the forms of ID above will suffice, alongside two ‘passport’ style photos one with a ‘true likeness’ declaration which has to be signed off by a ‘professional person’ school/college teachers should suffice….. or if appropriate probation, local rozzer et al.
The second way is slower and if the media is to be believed DVLA are in a right mess at the moment so assuming driving lessons for a 17th I would get it in as early as possible…