Use double-insulated power tools where possible. This type of tool, which contains a built-in barrier of protective insulation, is the best protection against electrocution. However, double insulated tools should not be grounded. If you are not working with a double-insulated tool, make sure your power tool is properly grounded.
Make sure any ladders you use are sturdy enough to hold you. If it looks wobbly or questionable, don't risk it. Clean up debris such as nails and lumber as you go, so you can keep the work site uncluttered.
When remodeling you'll inevitably come across some materials that can be harmful when touched or breathed in, such as certain adhesives and varnishes, wood preservatives, and insulation.