Anxiety and panic attacks are much more common than people think.
A guy here at work said that his wife just started having them ... just out of the blue. Things are starting to get a little better (they have sought treatment), but you have to take it one day at a time.
My DH suffers from anxiety and has only had one real panic attack that we know of. Last year, however, when he was having back problems he broke down many times and was real concerned about this behavior in front of the kids (then 16 & 17) ... I told him not to be, that they needed to know that sometimes even the strongest person needed help at times. Fortunately my DH's anxiety where he needed meds seems to be triggered when he has physical health issues and/or unusual work stress.
My father is fighting cancer and last summer they had him on Prozac ... he was breaking down all the time, not sleeping, needed my mom with him constantly, etc. He has a heart condition and has almost died before so we knew that this was not normal behavior for him in the face of possible death. We finally got the doctor to take him off Prozac and give him something else. Once that had a chance to leave his system, things were much better.
There are a lot of medications out there and they are not all right for each person. If you have a medication which helps you, don't be ashamed to have to take it. It is something that a lot of people struggle with but don't always announce at coffee-break at work.
I don't know how old your children are, but they need to be given some information pertinent to their age. Otherwise, they begin to imagine all sorts of things. If you and your husband can be upfront with them, they will be more comfortable with the situation and can actually be a big help to you as you struggle with this.
Hang in there, get back on your meds ... be happy.