From the Travel Doc website, it looks like PCR/LAMP/Antigen is acceptable. Home kits ok but need video proof. (So I wouldn't do that one).
The PCR one is the most accurate (as we know) but there can be issues getting the results back in time. If you work on 36 hours you should be ok.
Some centres guarantee a result well within 24 hours but you're looking at £199.
Traveldoc