Telling my partner I lost my job - any advice?

I have been leaving the house at the same time each day so my kids do not notice. I have read a lot of threads here and could not find my exact situation. Bills are coming up and I cannot keep this quiet. What did you say?

Do not wait until a bill surprises them. The longer it goes, the harder it gets.

I told my partner the same evening with a simple plan: what happened, what I was doing and what I needed. It was a relief.