You indeed CAN catch CO2 in the power plants and pump it down into the earth. Google it, the technology is not so far away. But of course doing that doesnt come for free. You have to pay for it.
Still it is the most realistic option.

Unfortunately I have to tell you your proposition is unrealistic:

Solar energy is no option.

People need energy the whole day. But when do you have energy from solar plants? Only by day. Building one solar plant for day production and relying on (probly mostly coal/gas/oil plants) at night is unrealistic because expensive. Why expensive? Because you need 2 power plants for the same amount of energy, one used at day and one used at night.