So I was reading the manga and I can say for sure that the anime it's better in any way, the characters looks way better, in the anime they look very generic.
Most important, the story is the same and it's being followed very close, amazing job from madhouse, the part where Shinichi cries for the first time it's done way better in the anime.
Just a few more episodes left, can't wait to see the ending
Even if migi falls asleep it's the same, he is technically a parasite now, so there is no way to fool the people who have the powers to sense them (like kana for example)