I expect all stylist's in my salon to be either trained to NVQ level 3 or in training for NVQ L3, (exceptions to this are my stylist's who trained before NVQ's existed and have other qualifications).
If I was you I would apply for Level 3 so you can go to interviews and be able to tell potential employers you are doing it as a matter of course, because you want to be as qualified as possible, that would impress me, and a good salon will support you through that.
But be aware any good salon will probably want to do some amount of re training to get you to their salon standard.
Good luck.
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