Welcome to ETO, laughmore!
Interesting idea.
If I may critique the concept:
1. Peltiers are flat devices. Right off the bat you'll have contact issues with a round bottle and, as a result, serious thermal transfer inefficiencies.
2. In that same vein, transferring the heat to a glass bottle will also seriously reduce the heat transfer process.
3. You have selected a peltier unit that maxes out at the temps you wish to achieve. even assuming 100% efficiency. Of course, a higher wattage/higher max temp device could help with that.
4. All of the above would result in having to add additional peltiers to achieve the efficiencies needed, thus requiring a higher wattage power supply and bigger heat transfer traps (opposite of a heat sink).
5. The heat traps have to be in direct contact with the peltier (or some less efficient liquid transfer system), thus vastly complicating the magnetic stirring design.
As to your exact question, just google, for instance, "100W potentiometers".
Note that the pot(s) will consume some power (heat up, since they're wire wound)) so figure that in with your estimates of TOTAL power needed to run the peltier(s).