Cold 1 year old feet help!

My daughter has been walking for a few months now and she's on the move constantly but now that the weather is getting colder her little feet get chilly so she can't be barefoot anymore but even the socks with grips are to slippery so she'll take off running and fall and hurt herself so I decided to try sneakers but they're so bulky for her she hated them she'll just sit down and cry and try to rip them off. Does anyone have any tips for what to try?