Our current favorite two-dimensional electron gas is Bernal stacked bilayer graphene, where the coexisting spin, valley and layer degrees of freedom offer a fertile playground to explore the many-body phenomena of quantum Hall ferromagnetism and fractional quantum Hall effect in a magnetic field. Within the same material but under different conditions, bilayer graphene exhibits symmetry-broken integer quantum Hall effect, canted antiferromagnetism, quantum spin Hall effect and even-denominator fractional quantum Hall effect, all of which can be controlled via external experimental knobs such as an electric field and a tilted magnetic field, in high-quality devices. We use low-temperature transport and sometimes very high magnetic field available at the Magnet Lab in Tallahassee to access the fascinating physics that emerges from the intricate interplay of competing interactions in bilayer graphene. Ongoing research aims to probe the excitatons of the quantum Hall and fractional quantum Hall edge states.