Here is a common and meaningful ritual for the New Year.
Releasing the Old
If you have a fireplace or wood stove, you can mindfully put this prayer of release this into the fire.
If you don't have a fireplace, you can tear or shred the paper, or bury it to decompose in the ground. Or write the release on toilet paper and flush its down the toilet. You can release this in any way that feels true and good to you. For a feeling of lightness, you might like to wave bye-bye to it as it swirls down and away. If you feel more solemn about it, then bring that reflective mindfulness to your release.
Calling In the New
Take a moment to reflect on this. Really feel into what would be great. Phrase this in a positive way. For example, instead of phrasing it as "No more stress" write something like "Ease, Flow. Peace". You can write a prayer or affirmation, or just a few words.
Don't worry about how it would happen or even whether it's possible. Just feel what you would like to experience in the coming year, and write that down on another piece of paper. If you are not a writer, find or draw a picture that symbolizes what you want. This paper can go on your altar, or some place that you will see it regularly. Or it can be planted as a symbol of a seed that will grow. You can tie it in a tree, or put it in a corner of your home that represents that part of your life.
In the past, friends would tie their hope onto a balloon and release it, but this is not an eco-friendly method, so think of something that feels right to you.