Also, don't discount Suzuki's own oil. Last time I purchased, it was under $3 a quart and works wonderfully. It's a plain steal! At that price I don't flinch when changing my oil every 2500 miles, which is long before it has a chance to break down. It's far easier on any engine to change standard oil every 2500 miles than run expensive synthetics for 8000+ miles between changes, marketing claims aside.
Remember, frequent oil changes; using a high quality (Suzuki, Napa Gold or K&N) oil filter (changed every 5000 miles); and frequent air filter inspection/cleaning and replacement as needed are the three most important maintenance items you can do to keep your engine running happy.