Homer's "I Love to Walk" song is a parody of "Talk to the Animals" from the 1967 animated film Doctor Dolittle.
Homer sings Grandmaster Melle Mel's lines from Chaka Khan's song, I Feel for You on the karaoke microphone.
The elderly couple that Homer passes by are a reference to Dennis' elderly neighbors, The Wilsons from Dennis the Menace.
In the scene where Bart said he would bite his hand off, he looked fine. After Homer was reminiscing about himself going to the movie store, in the background you could see Bart without his handcuffs on, and he was in his bandage again.