There are apps for the cycles of the moon, and many diaries and calendars mention the moon phases as well. But to get you started here are some moon charts including the Full Moons of 2021 and the New Moons and their zodiac signs. (Each moon phase lasts a little over 2 days, so you may well see slight variations on these dates)
For online resources, you can explore
Farmers Almanac Moon Calender & Phases
Time & Date Moon Calendar & Phases
Moonology.com Moon Magic
