It takes much less space (including storage for waste of current generation power plants, and we could close fuel cycle if we spent a tiny fraction of money used to whitewash oil companies to this research) that all fields of wind generators and solar panels. Also, modern nuclear station has resource much larger than modern wind generators, which is made of glass and resin. Nuclear power plant don't take space needed to graze cattle and seed crops, don't kill soil with vibration as wind turbines, don't change local micro climate as solar panels deployed on square kilometers. "Only" problem with nuclear plant is possible terrorist attack (modern control systems should exclude manual control and Chernobyl scenario).
Yes, uranium is theoretically finite, but only now known reserves is enough for something like 100'000 years on current level of power production of whole planet (not current power production of existing nuclear power plants, but total power production as-if it is made only by nuclear plants). And it is not all reserves for sure, and in 100'000 years, I hope, fusion power plants will be reality