I would not introduce your daughters to anyone until you are seriously dating this woman – it’s unfair to the woman and to your daughters. I would not take every woman to meet your daughters because if you break up 2 weeks later, there was no point in having them meet.
If you have not dated in a long time, I can tell you it’s not unusual to have 2 or 3 dates with someone and just know that you really don’t see this going anywhere for any number of reasons. In other words, be a bit more sure of the woman yourself. Wait until you feel that a woman is someone you may want to include in your life more and more. No guarantees – but that you feel this relationship is worth pursuing.
It’s up to you if you allow them a veto. I would say, not so much a veto but listen to their concerns and objections because they may see something that you do not. But, that’s getting a bit ahead. When the time comes, observe how she interacts with your daughters too. If she’s that special, your daughters may want to see you happy by that point. One step at a time.