Also, taking a class at a local arts center or your gym is another way to socialize and meet new people at the same time.
Even if these people aren't on your dating radar, making new friends and building your relationships with old friends helps you to better evaluate your current emotional state and know if you're ready for something more than just a friendship.
You should have fun with dating and the new relationship experience, so there's no point in rushing into something that you can't allow yourself to fully enjoy.
You can wait to fully explain the situation once you have seen someone more than just a few times.
If your child is in their teenage years or older, they will likely understand what it is that you're really doing.
Be honest with yourself about what you're ready to take on and when.
Consider your emotions alongside your current physical state.
While these are important factors to consider, they don't mean that you'll never be able to have a new relationship.