I just got done (before reading this). I took a pair of scissors and cut up the pieces very small and spread them around the newly mulched areas of my front yard (near bushes).
I’d prefer to just bring them back to church before Ash Wednesday but the rest of the family isn’t Catholic (yet) – but my wife wants to always have the palms in the house. On top of certain pictures of family members, in our foyer where we have a quantity of Christian things (Holy Water font, pictures of saints, a cross), and on top of certain Bibles that are around the house (opened to Psalm 23).
For a non-Catholic, my wife is fairly interesting. She puts perfume next to Mary as well as next to some family portraits. I hope that this small dedication to Mary will pay off for her someday.
I can get rid of the old palms today, because I’ll get new ones tonight at Mass (I sing in the choir Saturday nights).