I couldn't sleep. I was very tired. (despite)
Despite being tired, I couldn't sleep/ I couldn't sleep despite being tired.
They have very little money. They are happy. (in spite of)
In spite of having very little money they are happy / In spite of the fact that they have very little money
My foot was injured. I managed to walk home. (although)
Although my foot was injured, I managed to walk home/ I managed to walk home although my foot was injured