to eat around; to go from place to place trying different foods — visiting several restaurants or stalls to sample dishes (colloquial).
週末は友達と渋谷で食べ歩く予定だ。
I'm planning to go eating around Shibuya with friends this weekend.
旅行先では地元の名物を食べ歩くのが楽しみだ。
When I travel, I enjoy trying local specialties at different places.
小さな店をはしごして、夜は食べ歩きした。
We hopped between small restaurants and spent the night eating around.
下町を食べ歩くと、思わぬ名店に出会えることがある。
If you eat around the old neighborhoods, you sometimes find unexpectedly great places.