Going on a Budhist Pilgrimage and Want to Make it as Focused as Possible on the Buddha's Teachings

I'm headed to India (and Lumbini in Nepal) in some months for a pilgrimage. This isn't a tourist trip. I want to make this trip as spiritually relevant as possible. Any sort of advice, tips, guidance as to important destinations within India would be most appreciated. This includes advice from Indian citizens regarding customs and culture, as I am a westerner. Thank you!