As a former bachelor I can attest to the experience of dating desperate women. Even after one date, dinner with the kids seemed to be the norm. This is a terrible idea. You need to have a life separate from your kids. Develop a relationship to a greater extent before introducing them to your boyfriend. 

I can tell you that many men don't want anything to do with your kids until they know for sure they want to be in your life. Dating can be as temporary as a day, a week or a month. You want a lasting relationship before you drag your kids into a man's life.