I visited Mycenae in October of 2016. I went on a day tour from Athens that went to Epidaurus in the morning and Mycenae in the afternoon. I don't think this was enough time for the site, as I had to skip the museum and didn't get to see Tiryns. I would recommend giving Mycenae and Tiryns a full day if you have the time.

My favorite part of the visit was climbing to the top of the Citadel and seeing out across the countryside.

I recently did an interview with John Bennet from the British School at Athens. He works on Mycenae and has a lot of interesting information about how they choose to do future archeological digs and how it was rediscovered as an archaeological site in the 19th century. The interview is here:

Mycenae Interview with John Bennet.

Here's my visit write-up with more pictures:

UNESCO World Heritage Site #33: Archaeological Sites of Mycenae and Tiryns (Greece).