I am going to start a project for making a temperature controller with precise temperature sensing, and to be used in laboratory environment
Generally thermocouples are not the best choice when precise measurement is desired. Thermocouples main advantage is lower cost sensor and the ability to read and survive to a couple of thousand degrees. In your desired measurement range an RTD sensor is consider the 'gold standard' for lab use. Both types require some interface circuitry or interface chip.
It seems there are quite many instrumentation op amps out there. I am now comparing them. There's one circuit design which claim to achieve 0.01 deg accuracy with proper calibration. This looks very promising