1. perambulate, walk about, walk around

walk with no particular goal

Example Sentences:
'we were walking around in the garden'
'after breakfast, she walked about in the park'

• perambulate
• walk about

2. circumambulate, walk around

walk around something

• circumambulate

3. walk around

behave in a certain manner or have certain properties

Example Sentences:
'He walks around with his nose in the air'
'She walks around with this strange boyfriend'

4. walk around

walk randomly

Example Sentences:
'We were walking around in the neighborhood to see whether we could find an open drugstore'