An upfront caution: this is a VERY comprehensive list. You may not need to do everything on it (and you may not have time to do everything).
In all rooms:
Living Room/Dining Room:
I know, this is a lot. I typically allow 1-2 hours per room to do everything. Since I live in a small house, I can finish up in a weekend. I treat myself with a long, hot bath and takeout for dinner.
You can also tackle it in stages. First, you clear things and put things away. possibly doing a little bit each day. Once everything is decluttered, you can start laundering and mopping and dusting in a larger bloc of time. It will amaze you how much faster cleaning goes when you aren’t mopping and dusting around extra stuff!