Exploration for an infant means discovering anything about that environment. If that infant needs an opportunity to be brought to them, that's okay. Let an infant explore through their senses, whether it's touch, or smell, or taste, or sight, or hearing.
Upper limb therapies and interventions have been well studied in cerebral palsy. Different interventions that have good evidence are Constraint Induced Movement Therapy (CIMT) and Bimanual Therapy. CIMT has been shown to be successful in children with hemiplegic cerebral palsy (CP). CIMT uses a splint to physically constrain the uninvolved arm and encourage them to use the more involved or affected arm.