He was drunk and wasn't very 'steady' on his feet. [=his balance was not good; he looked like he might fall]
“Everything's going wrong!” “'Steady on', now. It's not as bad as that.”
He held the rail to 'steady himself'. [=to keep himself balanced]
(..) across that sink hole in front of you, you get this one. That's right, you losers. You take a step and you're dead. You're bluffing, huh? Yeah, that was a bluff. Go! A dandelion? We're steady! What? You have beautiful eyes. Get off my face. You and me, we make a great team . (..)2002 Ice Age