Don't know the price of the Suzuki tool, but Pep Boys has the right size "cup" style filter wrench to fit the OEM filter for under $3.00. I believe the line is named "Rite-Fit". Not at home, else I would post the actual number. These filter cups work using a 3/8" drive ratchet. I adapted mine with a hex nut on the end and can now use a boxed end wrench to remove and install he filter. Due to clearance, you need to have a ratchet with a thin head to clear your header pipes.
Or just switch to the K&N filters that already have the hex nut attached to the end of teh filter. Makes changing oil a snap.