I shop online over very long distances looking closely at shape and postage costs - I usually do that a lot + compare prices locally in brick-and-mortar stores or buy second hand or items that are gifted away, on for example Facebook.
Over here some even shop their groceries online locally, I would never do that but I use sometimes the automated checkout. Shopping Your groceries online locally is not marketted as the cheapest option, but merely as time-saving. I prefer to actually spend a lot of time going to grocery stores rather far away that I know are cheap - fully accepting the risk I may not get everything I need from them, while I read the Bible in the commuter traffic, or I bicycle a part of the distance. Sometimes I shop groceries together with dad by car, then we just go to where it is the both the fastest and fairly cheap to shop fairly near the highway. He never comes with me to the very cheapest shop.
On some things I don't consider price a lot: Olive oil, ecological eggs (although now I'm becoming vegetarian again), ginger tea (as there doesn't seem to be many different brands to choose from), ecological oranges, ecological carrots (unless they are really expensive, to keep the cost down I instead often eat a very cheap betacaroten supplement), salad that is marked down to half price because it's not that fresh anymore (well maybe that's regarded as considering price?). But most vegetables and berries, especially potato, red currant and gooseberry I get from what my dad has cultivated - so my average food costs are very low. If I buy I try to go to a store an hour away that sells things for one or a few dimes that are past the day they may be sold (that store has a special license to sell such, and You are required a free of cost membership).
I subscribe since a while by mail to Omega3 with vitamin D supplement. It's not that cheap, but in this case it's definitely convenient. I live so far up north that I have to eat this almost every day, all around the Year, particularly since I usually don't eat fish ever day (I would like to, but feel better physically when eating a vegetarian diet).