One of the simplest ways I've noticed to consider 'the other' even during errand-running, is to ensure that there is 'an other' to consider. Case in point: self-checkout lines.
This is not backed by loads of research or polls, but grocery stores in particular employ a lot of folks as cashiers. Additionally, bagging groceries is a great job for folks with developmental disabilities who are interested and able to work. Beyond that, grocery stores very often partner with local schools through programs like scholarships, fundraisers, and scrip.
This partnership works best when grocery store patrons choose to be served by these cashiers and baggers. In return, there are relationships to be had and incomes to be earned by allowing people, not machines, to tally up purchases.
Admittedly I have not switched to online shopping or grocery delievry (and yes, these services employ folks, too). First, because this is not practical for us, second, because it's important to know the names of the folks we see each week. I like talking about music with one of the young men who bags our groceries, and I adore the older gentleman that saves his pennies for our girls so that they can ride the horse after shopping. These are important relationships that do not occur in an increasingly technological shopping experience--and they're beautiful.