There are many ways to actively help refugees. Firstly, stay educated and educate others on the complex situation many refugees find themselves in. You can also research local volunteer initiatives in your city or country and see how you can get involved. Maybe you can volunteer at a refugee camp? Maybe you know a foreign language and could help a refugee get around your city? Or maybe you could participate in a refugee integration event?
You can also follow the work of a refugee organisation, either locally or globally. Many of them are non-profit organisations, financed completely by donations. You can support them by volunteering or donating.