On my way to school every day, I usually see lots of dogs and cats.

Literal

Every-day school [to-に] go way-in-the-middle [at-で], I [topic-は] usually, many [possessive-の] dogs and cats [object-を] catch-sight-of.

途中で ('on the way') is a useful location expression — 途中 ('midway') + で ('at'). 目にする ('to catch sight of') is a set expression meaning 'to see/spot' — literally 'to do with the eye.' や marks a non-exhaustive list: 'dogs and cats (among other animals).'