It's only hard if you're looking in the wrong places or do not come off personable/likable. The first part of your question deals with how hard it is to find a date. The second part implies you don't have the time to date! Those are two different challenges.
With regard to the first one you could join an online dating site which caters to the (single parent niche).
Truth be told any woman who looks decent and posts her photo and profile on Match.com or Okcupid.com is likely to get plenty of guys contacting her to go out. It's up to her to choose which ones to say yes to or engage with.
There are also numerous hobby/interest groups listed on Meetup.com. You could join a few of them. They have everything from wine tasting, meditation, book clubs, dancing, and so on along singles networking social mixers. Most groups meet once a month or more. This allows you to get to know people gradually. One thing is for certain you'll have least one thing in common if you come across someone who is single.
Your second issue has to do with you not making "me time" a priority. All of us only get 24/hours a day. You choose how to use yours. You may want to create a calendar to schedule things.
It's a requirement that your wellbeing is in a good place in order to give your best. You might want to start off by scheduling one day/night per month to have someone fill in for you while you go out with friends or do whatever.
If other women have children and find time to date then so can you.
An old adage goes:
"If you really want to do something you'll find a way and if you really don't want to do something you'll find an excuse."
The world may not owe you anything but (you) owe yourself the world!