Watch the birdie?

• Watch Fluffy or Fido
• Watch dogs?
• Take care of a neighbor's dog, say
• Watch boxers, say
• Attend to a boxer, maybe
• Take care of a boxer?
• Feed the neighbors' fish, say
• Check on pointers, say
• Manage boxers, say

Wiktionary Word definitions in Wiktionary
vb. To babysit for (gloss: take care of) a pet.