Bunting (100) having core bottom (110) extending over top of the child carrier seat (11/21) and shorter, core top (130) for enclosing child, along with like-sized, optional, decorative/functional cover (140), forming three, connectable, main layers (FIG. 6) or, alternatively, with the cover directly connected to core bottom, using compatible side fastener, zipper sets. The bunting bottom end is open allowing child's feet to extend down out from bunting bottom. Bunting-to-stroller, side attachments use special bunting/suspender clips (150; FIG. 14). Child's feet alternatively placed in integral boot pouch (120) attached to core bottom's bottom and flipped-over moveable between back and front sides (cf. FIGS. 1 & 2) and, alternatively, usable as storage pouch for rolled up, integral bunting (FIGS. 15 & 16). Core bottom's top can be cinched up forwardly to form hood or backwardly for attachment around stroller seat's top. Alternate embodiment in which optional cover (240) attachable only to core bottom (210; FIGS. 17 & 18).