Dealing with childrens father after breakup?

I left my ex (my 2 children's father) 4 years ago.

We were together 14 years. He was an asshole with a gambling addiction. We had to move house nearly every year due to not keeping up with the rent etc. He took our loans and credit cards out in my name and I had to go bankrupt for him. He always put me down. I was never good enough for him! I stayed for the kids.

3 years ago I met someone else. The complete opposite to my ex. My kids love him and we've all just moved in together. My kids see their dad 50% of the time which is not a problem.

The problems arise because my new partner thinks I'm too soft and a door mat when it comes to my ex. My ex sends me very abusive messages, calling me a pathetic mother and that the kids will hate me. Lots of stuff over the last year which I just ignore.

I always try and keep it civil for the kids but apparently I take civil to the next level by being too nice. I send him photos of the kids when we do stuff. Yesterday I sent him photos of them with a model of jabba the hut (my ex loves star wars) and said thought you'd like this. Which triggered a nice conversation between us for a change.

My new partner said why am I being like this when 2 days ago he was verbally abusing me for no reason.

He thinks I should just send the photo and nothing more is needed.

I'm am just trying to be civil. Am I wrong?

Dealing with childrens father after breakup?
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