Seeing a girl after a long term relationship?

I was cheated on then dumped by my ex-girlfriend of 7+ years living together. It has been a little over 4 months. I did all the right things for healing and moving on, went to the gym, still going, stopped drinking for a while, went to see a therapist several times, read some books. etc. I was really hurt by my ex. Never seen it coming. Now I have seen a few girls, But now one is getting serious with me. She wants a serious relationship. I am un certain, but at times it is what I want, She is pretty, she has a good stable career, She is a good catch. Do I continue this realtionship on a serious level and just be catious? And I ready for a commited relationship after only 4 months? I mean something could be there with us. Just not sure. I still have thoughts for my ex, But not in the way I use too months ago. I dont want her back. She did too much damge to our relationship and to me. What do you suggest? I am torn. I can fall for this girl. She is in a position to get attached and move quickly with us. Please some good advice is recomended.