The Attic month of Skirophorion ends July 6th and the month of Hekatombaion begins July 7th. Hekatombaion begins the Athenian New Year and there’s a lot going on. My dates are from Hellenism.org, but you’ll note that my Deipnon, Noumenia, and Agathos Daimon begin a day earlier because I observe Deipnon on the true dark moon the way ancient Greeks would have. Hellenion’s calendar is a great resource, especially if you, like me, aren’t great at math.
Dates marked with an asterisk are monthly observances and are generally household events and not big festivals. Smaller offerings would be made on these dates and it would have been just family or close community. Dates without asterisks, like Kronia or Synoikia are festivals that would have been observed city-wide and would have processions, public sacrifices and offerings, and feasting.
I do not observe every date on the Attic calendar; just Deipnon, Noumenia, and Agathos Daimon, any festivals, and any smaller household days that appeal to me. For example, you’re never going to catch me making offerings to Theseus, the biggest bag of dicks in Greek mythology, but I do observe Athena, Apollo, and whichever other monthly dates that feel right.