Penguin walk to normal walk - advice needed

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Hey guys, looking for any tips or advice on how best to transition from walking like a penguin to a normal gait. When I try to walk unassisted at the moment it's more like a waddle. Will my body just eventually walk normal when it's ready or is there anything I can do to improve things? I've been working my quads and glutes which seems to definitely be helping but my gait is still a long way off normal.

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Thanks man! Forgot about the abductors I'll start hitting those too. I've recently started working my abs again and it seems to be helping my overall stability. Hopefully around the 6/7 month mark I'll be walking like a normal person lol