Firstly I would clean out the bottles even if they are new. You spend a bit of time and effort making your brew so for the fact of a few minutes I would clean them to make sure you don't have any off flavors or bad batches that may have been picked up from the factory or supplier.
With the no rinse solution as Denny says there it no need to rinse. Rinsing them has a chance that you will make the bottles un-sanitized. Drain as best you can then the amount left in the bottles is not enough to impart any flavors or affect the brew in any way.
FYI with the no rinse solution I have a brother in-law that does not like to leave the no rinse in there and will rinse with the bottles very hot water then put the caps on them straight after rinsing and his brews come out fine. In my opinion I wouldn't waste my time rinsing.