Due to safety and security for both parties, it is best for both people to meet together at the designated date place. It is not a good idea, especially for females, for the other person to pick up the date. Then the other person knows where you live and that you are most likely by yourself. Now, the other person who you really don’t know actually knows where you live.
If you are on a first date where you were brought together by mutual friends, it would not be bad to meet the other person close to your house, but I would never have someone I don’t know pick me up for a date. It is just not safe. If she needs to take a cab home, you could pay for her cab.