You will find as you get into it that it is more than just moon based, though that does have a strong influence also.
One of the things that I found most noticeable is that (in my experience) bread rises better and makes a nicer and more satisfying loaf when made during the Warmth/Light (Flower/Fruit) periods.
That's an easy one to try, and the results show immediately - well did to my mind anyway - my mother made our bread for many, many years, and having tried following the calender was total convert, to the extent we had to go without if the day was missed.
When I first bought the "Calender" it was pretty basic, but each year they include more hints and tips. I keep them for reference and to read through from time to time
Maria Thun, born 1914, who started publishing the "Calender" 50 years ago has been growing all her life, and at least her father before her, so she probably knows a bit about gardening anyway
Here is a link on something else you might be interested in
LinkyBut as I say - each to their own - it works for me
even though I don't follow everything.