You can manage multiple separate wallets within the Blockstream app. It is useful to give each wallet its own unique name so you can differentiate one from another.
1.
From the My Wallets screen, swipe right on the wallet you would like to rename. Tap Rename.
2.
A pop-up window will appear where you can change your wallet name. Type your new wallet name in the provided text box and tap Submit to complete the process.