Get down to toddler eye level and the hazards introduce themselves. In living areas: cover exposed outlets, anchor the TV and any tall bookcase or dresser to the wall (tip-over is one of the most preventable accidents in the home), and move blind cords out of reach or fit cleats to wrap them.
In the kitchen and bathroom: cabinet and drawer latches where chemicals and medicines live, a toilet lock if you have an explorer, and turn the water heater down to 120°F (49°C) so a turned tap can’t scald.
On the stairs: a gate at the top that screws into the wall — pressure-only gates are fine at the bottom, not the top. Add corner guards on low sharp furniture, and check that interior doors can’t lock a small child in.
Most of this is inexpensive hardware and an hour or two of fitting. If you’d rather hand over the list, CMG Bridge can work through it — $125 covers the first hour, Staten Island only.