The release order: DMC1, DMC2, DMC3, DMC4, DMC5
The chronological order: DMC3, DMC1, DMC2, DMC4, DMC5
Most people don’t like DMC2 so if you got bored while playing it you can just skip it (it doesn’t add to the whole story either), I played it ‘cause Dante looks cool in it lol and didn’t mind it much.
Beside that it’s really up to you which order to play the series. Capcom tend to change the chronological order every time they release a new DMC so I preferred to go with the release order.