I am planning a trip to see my girlfriend at the first of the year ( Philippines). If everything goes great. What steps should we go through next?

If you decide to marry her, then you could either marry her when you visit or apply for a fiancé visa when you return to the states. When she enters with the fiancé visa, you have 90 days to marry her and then she can adjust status to get her green card. Her daughter also can travel with her and apply as her derivative beneficiary for her green card. If you marry her in the Philippines she and daughter can process at the consulate. Both the consulate pathway and the fiancé visa pathway are taking about the same time -a little less than a year, the fiancé visa taking a few months less. Counsel anywhere in the USA can represent you. Some of us charge very affordable flat fees. Good luck.