If I'm by myself, I'll hurry to open a door for a lady. When we are out together, I open and close my Wife's car door, and push her seat in for her. I walk my Grandma to and from her car when she comes to visit. I guess its just how I was raised.
If Im out with my Wife and kids, say to a resturaunt, I'll hold the door for my family. If there is a woman with children behind us, I'll hold the door for them as well. But, if there is a man with the group, I will hold it from inside until he gets there, then I let go regardless if he is ready to hold it or not. If he is holding a child or is alone with children its a different story.
When my kids were younger, we would always use the shopping carts shaped like cars and strollers in grocery stores. After we loaded groceries into the trunk of the car, I would always take the extra minute or two to walk the "Kid's cart" back to the front of the store. I figure women going to the grocery store have enough on their mind anyway, and I would others would have the same consideration for my Wife or Mother.