We are not experts on the Baptists, so we cannot give you a comprehensive answer. We do know that there are different kinds of Baptists, which means that all Baptists don't share the same beliefs. But here is what we can tell you:
1. In general, Baptists believe in the Trinity and Apostolics believe in the Oneness of God. For more on this, please read our article called 'Questions and Answers About the Oneness of God,' which you can find on the Apostolic Free Library on this website.
2. Baptists baptize by immersion as an external sign of an inward conversion. Apostolics baptize by immersion for the forgiveness of sins and as a burial into the death of Jesus.
3. Baptists call out the titles Father, Son, and Holy Spirit in baptism. Apostolics call the name Jesus in baptism.
4. Baptists believe a person receives the Holy Spirit by faith and that there is no external sign other than the fruit of the Spirit over time. Apostolics believe that the fruit of the Spirit should appear in the lives of those who receive the Spirit, but also that the initial sign that the Spirit has been received is speaking in tongues as the Spirit gives the utterance.
5. In general, Baptists and Apostolics have very different ideas as to what a life dedicated to God looks like in all its practical applications.
If you have any specific questions on this topic, please feel free to post them. Hope this helps!