Weebles wobble, but they don’t fall down.
Babies do though, especially toddlers
There’s no need to put a crash test helmet on your toddler who is learning to walk, but there might be good sense in toddler-proofing the rest of the house.
Fireplaces, specifically their hearths, could use a good, padded edging and corner protection.
Corners of sharp dining tables and end tables could also use protection from baby’s teetering step. Foam padding, or just a heavy quilt and some duct tape, can help protect baby’s eyes and head from sharp corners.
Use duct tape or non-skid pads to secure rugs or throw rugs to the floor.
Secure things they can pull down on top of them, like tablecloths with candlesticks on top, towels with pots or runners with decorative dishes.