No problem. If you have the time I would definitely recommend doing the oil pulling as the pre-rinse before brushing. However, you need about 20 minutes for that, which is why the Biotene PBF would help because it is used for just 30 seconds to 1 minute & it's a very mild mouthwash. It also contains no alcohol.
I'll be starting this same oral hygiene regimen pretty soon also. I'll do the oil pulling when I have the time, if I am running late for anything then I'll just use the Biotene PBF mouthwash.
Below are the best oils for oil pulling, not exactly listed in the order of effectiveness. Always shoot for the organic, unrefined, cold press (if possible) oils.