And, well, that's pretty much your lot for now, besides a statement from Shankar saying how excited he is to be working on DMC: "I'm honored that Netflix and Capcom have entrusted me to shepherd the Devil May Cry franchise," said the showrunner, continuing that "Alex Larsen and I love these characters, we are part of the fandom, and vow to surpass the exceptionally high bar we set for ourselves."
There will, presumably, be some crossover between Netflix's Castlevania series and this. Shankar has said in the past that his DMC anime will "join Castlevania in what we're now calling the bootleg universe." so your guess is as good as mine about what that means.