RE: Fits and Screams
As much as possible ignore them. If re-direction doesn't work, then I would ignore them. I know that is HARD especially when in a store. And be prepared to retreat quickly. But honestly, as embarrassing as it is for you, most people pay no attention to other people's kids.
With Sarah, I found that her tantrums are often precipitated by being hungry or tired. So avoiding trying to do too much and carrying snacks helps. But there are those tantrums that are born of "I want my way and I want it NOW". If you make it a practice to ignore these tantrums, they will subside over time. Give her attention during these tantrums and they are guaranteed to escalate.
Good luck! And remember all the toddler moms have been there!
Beth, mom to older DD (8/01) and younger DD (10/06) and always missing Leah (4/22 - 5/1/05)