They will most likely bleed in the first few washes. Wash seperately or with similar colors the first few times. After that it should stop bleeding and it will be safe to wash with other colors. Even though it might bleed in the beginning, the colors won't fade. Follow the care instructions that came with your order or read them here.
TIP: If in doubt, place a white cloth underneath the garment when ironing to see if it still bleeds or not.