Little lost on how to even begin making something like this. Anyone can give me some pointers or put me in the right direction of how one would go about creating this intro in Adobe after effect ?
Think layers and track mattes.
Personally I would create the artwork in Illustrator. Then depending on the design I would probably convert the vector layers shap layers. For some designs you could even use the offset path tools for shape layers and use those as track mattes.