If this level of anxiety kicked in after having children it may qualify as PPA - post partum anxiety. People often think of depression, but anxiety is also incredibly common. There are varying degrees you can experience such things and sometimes it might be a good idea to consider medication while making lifestyle changes to assist you.
As a mother to young kids myself, I know that I am prone to anxiety. What I didn't know initially was that I am also prone to developing something called post partum hyper-thyroiditis. So this was doubly awful. I was loosing weight like crazy, unable to sleep, and having all sorts of symptoms due to my thyroid which also increases anxiety for some, and having anxiety with the two together had me convinced for a while that I had to have cancer or some awful thing happening, because of all my strange symptoms (especially excess weight loss). I tell you that because pregnancy also puts a strain & sometimes that means it can change our health. It is always advisable to talk to the doctor about any symptoms you are having, even anxiety, simply because there can be a biological component to it. I could have never yoga-d my way into a healthy thyroid. That wasn't going to work, right? So a check up & talk with the doctor is seldom a bad idea. If they advise a medication you prefer not to take, you don't have to take it, but it's still worth looking at all options and ensuring you don't have anything else causing you to have more intense anxiety.
That said, the rest of what I do. I have recently started a supplement called L Theanine. It's an extract found in tea. It simply helps me feel more calm & focused. The strength I take is about what you get in 2 cups of tea, so not much, and it's not magical, but it helps a little.
Avoiding caffeine helps me as well. That was one my doctor advised right off. I again, can't say it magic, but also better.
CBT is one that is commonly used clinically. I was already versed in meditation, so for me I've just reapplied myself to that, which in many ways is not too terribly far removed from the techniques of CBT, such that now there is MCBT that is a marriage of the two. http://www.harleytherapy.co.uk/counselling/cbt-mbct-difference.htm