Yorkiegirl - I am firstly very sorry to hear about your loss. It must have been hard for you.
I am glad that you have finally come to realise that you are depressed, it is the first step to getting to feel better again. I relly hope the fluoxetine will help.
Not much else I can say, apart from that I am thinking of you. Children are resilient and can take a lot of things, what you are showing them is that life is sometimes difficult and can affect people negatively, but that you as a strong person can find a way to cope. That is a positive message that in time they will learn from you.