The most significant difference between a French press and a Bodum is the price. A French press typically costs more than a Bodum. However, the Bodum may be a better option for those who are looking for an inexpensive option. The Bodum also has a few features that the French press does not have. For example, the Bodum has a plunger that allows for more control over the brewing process. Additionally, the Bodum has a mesh filter that helps to keep grounds out of the coffee.