If you have a way to jack up the bike -- Before starting, & with your fresh oil in place, jack up the bike, strap it in place, and pull the plugs. Put it in 5th gear, and rotate the rear tire a dozen or so turns in the direction of travel. This will pump oil throughout the engine, and get everything lubed up inside. Many believe that a great deal of engine wear is during the first few seconds after starting, before any oil pressure is present. I'd be inclined to agree with that theory. When I hear someone rev up a dry engine in any vehicle, it kinda makes my skin crawl.
Per your oil question, there is a specific Mobil synthetic oil bottled exclusively for Triumph that is very good, but it is pricey. IMO, the Mobil 1 for V Twins is probably just as good, but cheaper in price. I've seen this V Twin oil at auto parts chain stores for around $8 per quart.
