Go to your local GA airport and get a couple of gallons or 100 low lead Avgas. Same as the HoD $20 a gallon stuff only $5-6 a gallon. Put it in before you store it and run it through.
I do not recommend running it full time in Honda engines (Briggs and Kohlers are fine). The valve clearance is tighter in Honda engines and eventually you'll get a stuck valve.
We sell a lot of it at the airport this time of year to locals who bring in 6 gallon cans. Snowblowers etc. The local antique cars museum brings a pickup full of 35 gallon drums every spring.