How to check fuse box in house?

Can you provide a step-by-step guide on how to safely check the fuse box in a house? Are there any specific tools required, and are there any safety precautions that need to be taken before beginning the process? Also, how can one identify which fuse is responsible for a particular circuit in the house, and what steps should be taken if a blown fuse is found? Lastly, are there any alternative methods or technologies that homeowners can use to manage electrical circuits and avoid the need to check fuse boxes?