temperature control with peltier module and fan to spread heat

I am working on an automated plant growth chamber and i want to simulate the temperature control as a subsytem unfortunately this is my first time in this field. below is what i want to achieve:

1. first of all a user is able to input a desired temperature
2. next a PID code on a microcontroller supplys current to a Peltier module to supply heat to the enclosed area. i have found out that this cannot be done straightforward and an electronic circuit will be required for this.
3. a fan will blow to distribute this heat within the system and hence themperature is being controlled

my problem is :

1. i do not know how to module the peltier module and fan system alogside the area or volume that the control will take place
2. i want to do a real time simulation with my code running on my microcontroller

And then i can make an analysis of whether it may work or not based on graphs and other data.

Has anyone done anything similar or can anyone help me with this project?