The biggest problem with Nuclear Power Plants is their price and the fact that they are centralized. While they might produce a good amount of baseline electricity, their energy is more expensive than solar and wind.
Obviously solar and wind also have disadvantages like fluctuating production but that could be solved by building battery storage. In another comment line I commented about Aqueous Hybrid Ion Batteries that could be used that way, they are heaavier than other battery types but environmentally friendly and could therefore easily be used in buildings.
The main advantage of solar combined with batteries is that it will help regular people instead of a huge company. A decentralized energy production would also help in wars or with natural catastrophies.