Counting a range of cells with dates within a certain range

[MSE]

I am trying to count a range of cells with a value between a certain date. In this sheet, I document visits to particular properties with the date, and I want to count a monthly total of visits at the bottom.

I want to count all the cells in the within the sheet that contain a date in January, February, March, etc. but not count the start and end dates.

BTW, This forum is an incredible resource, which I've used a number of times. Thanks for all who contribute.