Humble seriously?! "Don't invite him to your house at all. Put that out of your mind until your dd leaves home. You'll make your life much simpler."
One of the reasons I left XH was because I was so lonely living with someone who didn't pay me any attention as I craved affection and physical comfort.
While I appreciate that introducing a string of random men into your DCs' lives isn't the way forward, not being able to share your life with a significant other for the next 20 years is unrealistic and undesirable for most people.
OP I'd say it's too soon at the moment, but once you get to know each other better and know that this is a long term thing then you can introduce your dd. Not just a 'sense' or a spark, but a proper solid relationship with discussion about where it's going, what you both want from it etc.
I'd probably do that outside of the house first, eg going to a park or out for something to eat to see how they get on. I know some people would say that you need to be with someone a year or more before introducing them to DCs, but in my mind, it is better to see how they behave with your dd, whether she likes him etc before it gets too serious. If you've invested a year into getting to know him you're less likely to listen to any niggling doubts you have when your dd meets him. Seeing how he reacts to bad behaviour, clinginess etc will tell you a lot about how he would fit into your family.
Does he have his own DCs? IME that's where most of the problems come into new relationships, so again, it's important that the DCs meet and get on if your relationship is going to progress at all. Yes, you could keep it to one night a week, out of your house, but that's not sustainable for most people and certainly wouldn't be enough of a relationship for me.