The adverbs "usualmente" and "normalmente" are used as equals in Spanish, Marina! You can use them when talking about your rutine, everyday activities and so on. There is no much difference between them. I can tell you that Spanish native speakers tend to use more normalmente than usualmente! But you can use both and your Spanish will sound quite good with no difference. Hope I help you!

Just to add what Nicolás said, its the difference between "usually" and "normally" in English....in other words, the same thing.