The 32-year-old widow posted on Instagram about trying to focus on "fun and positivity" for the sake of their children.
Alongside a picture of herself, Parker wrote: "Hello 2023. I wonder what you’ll have in store for us. To be honest I’m not really sure how I’m feeling about the new year. I want to be hopeful, to look forward to but it’s hard to move forward without looking back."
She added: "I do know that whatever it brings, with Rae and Bo by my side the year will be full of smiles, fun and positivity."
Parker signed off her message by saying: "We’ll carry on as we were in 2022, living with our grief and growing around it. I’m looking forward to sharing it all with you and however you’ve left 2022 I wish you love and happiness for 2023. #PositiveParkersForever."
Before Christmas, Parker admitted she was finding it difficult to wrap presents for her children as she found her grief "catching her off guard".
She also suffered another death in the family after her grandfather died in early December after being diagnosed with cancer.
Parker paid tribute to him on Instagram, writing: "The funniest, wittiest, caring man known. He was so proud of his family. A dedicated family man who was always there when you needed him."
She added: "I know you’re up there now with Tom and your boy Neil having a glass of red."
Parker is set to be the subject of an upcoming ITV documentary – Life After Tom – which follow her as she copes with the pop star's death and her battle to keep her memory alive. Parker also aims to use the documentary to get people to open up more about grief.
Life After Tom is expected to air some time later this year on ITVBe.
Watch below: Kelsey Parker opens up about grief and her first Christmas without Tom Parker.