I'm from Minneapolis, the hometown of Target corporation. So OF COURSE I"ll pick Target!
I like the quality of their designer household goods. It seems like they want to give their customers an upscale look at a modest price. Also, Target stores seem more neatly laid out.
Walmart will be the #1 retailer for the forseeable future, due to low prices and heavy-handed corporate tactics. Many people are outraged at Walmart's tactics when it comes to zoning, competition, employee benefits, etc.
When a Walmart comes to a new town, it often generates controversy. I haven't heard the same complaints regarding Target, a good corporate neighbor.
At the two Target stores nearest me, they post the amount that they've given to each of the area's local public schools, and the amounts are in the thousands of dollars. I'm impressed by the way they have always given a percentage of their profits back to the community they are in.