The train leaves at 10:30, so I'll come pick you up at 10:00.

Literal

Train [topic-は] 10:30 [at-に] departs [because-から], 10:00 [at-に] you [object-を] invite go-[polite-ます].

Two clauses linked by から (casual 'because'). 誘いに行く is the ~に行く (purpose-of-going) pattern: the い-stem of a verb + に + 行く means 'go in order to do X.' 誘う ('to invite, call for') + に + 行く = 'go to call for / come get.'