How do you ladies deal with toddlers bad behavior ? My daughters 2 next month and shes just getting…

How do you ladies deal with toddlers bad behavior ? My daughters 2 next month and shes just getting worse. She does not hit or bite thankfully. But oh lord does she love to scream. If shes not satisfied she screams if i tell her no to something she shouldn't do she screams. Its gotten so bad that i don't even like taking her out anymore. For example i took her to walmart and she does not like sitting on the cart if not screaming. I put her down she just likes to run away ! If i grab her hand or get her she screams and everyone stares. Its really affecting me to the point i just want to cry. I have a newborn and her screams wake him up. I just dont know what to do. I tried time outs and it works for a bit but she just goes back at it. And she knows when were in public she can get away with anything. I tried spanking and she just takes it like a joke . please help. Ill try anything. I just feel like a bad mom