As far as I know, there is no such official rule in French. Your english ears are pretty right though: the most natural and logic way to list actions is to use the infinitive form (because that's what you need to do !).
Aujourd'hui, j'ai besoin de :
Sortir la poubelle
Nettoyer ma chambre
Laver mon linge (sale)
But if this list is supposed to be read by you only, you can basically put any keyword you want (chambre, linge, poubelle), as long as you understand what you meant... ;)
Some additional tips for you, if this list was more than just an example for the question. As a French speaker, I would have said :
Sortir les* poubelles
Nettoyer ma chambre
Faire une machine**
* : Even though it might seem odd, it sounds slightly more natural to use les poubelles even if you have only one trash bag. La poubelle often refers to the trashcan itself, not the bag you put in !
** : If you are building something that looks like a to-do-list, perhaps you'd prefer using the informal (but super-cool, and widely used idiom !) faire une machine, that litterally means doing the laundry !