I am not sure what time with the new online system. If you have ones that you really want like Le Cellier on a Saturday night or California Grill right before the fireworks, I have been told that it is better to call them at 7am. As for the other ones that don’t need ressies as much, I would make them online.
This is just my opinion and have read some feedback to this on other forums. If anyone has other suggestions or disagrees, I would love to know