You don’t want to be grieving over the loss of your old relationship while you are trying to foster a new one.
Make sure that you aren’t moving on because people expect you to or because you think you should be. Don’t rush your new relationship, and all the while, make sure to take care of yourself.
If you have children, keep them in mind and give them time to become accustomed to this new person in your life.
They may express anger and frustration in different forms like acting out in front of your new partner or even giving you the silent treatment.
Give them time to adjust, and don’t try to force them into situations they are uncomfortable with that involve your new partner.
It is a complicated issue especially if you have kids, but it is still possible and can be fun.