Matisyohu28,
Thanks for clarifying your point. I had not understood “kol k’vodah…” as applying to me in the literal sense, because it seems to me that given the way our communities and lifestyles are structured, staying inside all the time with younger children would mean compromising their education, health, safety, mental well-being, etc. for the reasons I detailed above. I understood the phrase more in the sense Think BIG explained, as describing how a woman should conduct herself when she is outside.
Taking my children where they need to go & supervising them while they play is one of the ways I care for them, which I consider one of my primary tasks at this time. None of the grocery stores near me take telephone orders; some take internet orders, but sometimes shopping in-store is the only way to get the items I need. Taking my children out on errands allows me to model appropriate behavior in public places, which is an important part of their chinuch.