Handlemecarefully, your toddler sounds just like mine!
I sometimes take my two shopping at the weekend because:
a) the weather's lousy so we can't go anywhere outdoors,
b) the three of us are bored and want to get out of the house,
c) the change of scenery keeps them entertained for a while,
d) we'll usually eat lunch or have ice cream or something while we're out,
e) there are fun little play centres at the shopping centres,
f) I can occasionally do some actual serious shopping when they're with me.
On the other hand, I don't expect to be able to do very much in the way of shopping when they're with me, and given the choice I would rather leave them home with a sitter (which I do sometimes).
On yet another hand, if the shopping centres were like in England in that they still allowed smoking inside, I wouldn't take the kids.