Watch Mom's parakeet, perhaps

• Take care of a neighbor's dog, say
• Watch the birdie?
• Feed the neighbors' fish, say
• Watch Fluffy or Fido
• Watch Fluffy, perhaps
• Mind a mutt, say
• Mind the pooch, in a way
• Check on pointers, say
• Watch Fluffy for a week

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