While not all of the ideologies of the olden days would remain relevant in our modern day and age, there is a pretty good chance that things like chivalry still serve a real purpose in this regard. Chivalry is a system of behavior that makes it so that the needs of others end up getting prioritized, and the truth of the situation is that women in particular would benefit if men starting behaving in a chivalrous manner rather than the often boorish mentality that they resort to these days.
Hence, instead of “picking up chicks” you might want to refer to it as courting a lady instead. This would change the way you think about the whole process by placing the emphasis on the women rather than on who you are and what you might want to try to do. It might result in you renting a Maumee Ohio limo rather than just taking a cab, and the woman you are trying to impress would be more likely to be attracted to you if you do this. This is because of the fact that she would see that you are putting in a real effort to try and woo her, and only a chivalrous mindset can lead to this sort of outcome.
No one expects you to pick up a lance, get on a horse and ride off into the sunset with your fair maid. They do expect you to be civil, though, as well as polite. Being chivalrous in the modern age is more about acknowledging the needs of the women in your life rather than objectifying them and thinking of them as not being all that capable of rational thoughts.