Formal:
* Je m'habille. (This is the most common and neutral way to say it.)
Informal:
* J'enfile mes vêtements. (This is a more casual way to say it.)
Other options:
* Je me mets mes vêtements. (This is another informal option, similar to "I put on my clothes.")
* Je me suis habillé(e). (This means "I got dressed" and is past tense.)
Example sentences:
* Je m'habille pour aller travailler. (I'm getting dressed to go to work.)
* J'enfile mes vêtements pour aller à l'école. (I'm putting on my clothes to go to school.)
* Je me mets mes vêtements de sport. (I'm putting on my sportswear.)
The best way to choose the correct phrase depends on the context of the conversation and your relationship with the person you are speaking to.