There is no shame in taking breaks when cleaning or other activities you do. That is good pain management. I am similar to you, except this year I can clean for about 5 to 10 minutes then need to take at least a 20 minute break. Divide your work up, like if sweeping and moping are really hard on you, then divide the floor you are going to do into quarter sections or smaller if you need to. It will still get done, it just might take a little longer.
Doing dishes is the worst chore for me, as the sink and counters are too short for me and I have to bend to do them and it is so painful. It was suggested to me to sit on a bar stool to do the dishes to help relieve the pain. I haven't gotten myself one yet, but I hope to. I often use paper plates and bowls and plastic utensils to minimize the amount of dishes I will have to do. It's not the best for the environment, but I don't have much choice.
I don't drive, so I have to walk to get groceries and other things. I was taught to use a backpack to carry things rather than bags that you hold and especially not to use bags that go over your shoulders. The backpack uses larger muscles than the bags, which use smaller ones and can cause more pain. This really does make a difference. I use a backpack all the time now and only carry the lightest items in bags.
Don't worry if not everything gets done that you wanted to do. Besides anything you do clean will only get dirty again anyway. It's all just a matter of time. lol