I understand, yes.
kW is how powerful a device is, how fast it will use electricity.
kWh is how much "electrical fuel" the device used.
The equivalents in "old money" for gas were BTU (British thermal units) and cubic feet - nowadays they convert everything to the more scientific kW and kWh (for gas, they apply a "calorific multiplier" to reflect how much energy is in the gas per cubic foot)
kW is akin to the cubic capacity of a car engine, kWh is akin to litres of petrol.
There is no equivalence. You can make assumptions about how many hours you are using devices, though.
Say you replace all your 60W lightbulbs with 6W ones, you are using 1/10 of the electricity you were before, so your carbon footprint (for lighting) will be 1/10 of previous.
You can't use 35kW less in a year. You might have used 35kWh less in a year, or you might have reduced your home's requirement by 35kW.