Going out more than twice weekly – instead of speeding things up – often slows things down by making one of both of you feel overwhelmed.
If you can say, "I feel lonely/ I feel I have to prove that I can be loved/ I feel wary of trusting again," you can examine how those feelings affect your view of the new relationship.
The first is to look into yourself and be aware of your feelings.
It's normal to still think about your ex and your relationship with him, even when you feel you've healed enough to move on.
It took months, perhaps years for you and your ex to reach a level of trust, friendship, and caring.
Give yourself time to get used to this new man and to the way you interact with each other, to share experiences and jokes, and to develop a sense of mutual history.