Cambridge tour with king's college recommendations

https://www.kings.cam.ac.uk/visit/plan-your-visit

Any reason you can’t visit on your own?

Here are tours of kings college chapel

https://sctg.org.uk/tours/

I’d suggest just taking the general Cambridge Highlights group tour and visiting Kings College on your own.
https://www.cantabtours.com/cambridge-highlights-tour/

Alternatively, the RS England book has a self-guided walking tour of Cambridge.

When I was in Cambridge, I did both the RS self-guided tour and the Cantab Cambridge Highlights tour. I thought both were worthwhile.

Kizut: In early May, we took a guided tour of the area through either Get Your Guide or Tripadvisor. We did the Cambridge University With Alumni: Optional Kings College Entrance tour and thoroughly enjoyed it. Our guide was a recent graduate and he provided both the historical background to the area and colleges as well as anecdotes from his time there. Yes, you could do it yourself, but I suspect you would get far more from the guided tour. And, since you will be in Cambridge, let me make a very strong recommendation that you considering visiting the Cathedral in Ely, which is only 5-10 minutes away by frequent train. The cathedral is one of the most spectacular cathedrals in the UK and well worth a visit, here is the link to their website for more information and tickets https://www.elycathedral.org You could easily visit both the university and the cathedral in a half-day or so with plenty of time left over to stroll around both locations.
~Darrel

Cathedral in Ely, which is only 5-10 minutes away by frequent train

good suggestion - just to say that the fastest trains are 14 minutes, many 18 minutes, just for clarity