There are several things you can do.
First is use a good mix oil with a fuel stabilizer in it and at least 89 Octane fuel. It wil keep the fuel from oxidizing or turning to varnish and gumming things up.
Now as far as off season storage, there are a few options.
Option #1 You can run the saw until it is empty of fuel. There will still be fuel residue in the carburetor and fuel lines and tank. This is why the fuel stabilizer is so important. If you do not use a fuel stabilizer or a mix with stabilizer in it, the inlet needle can stick due to think layer of Varnish build up. The diaphragms in the carburetor can dry out or become stiff.
Option #2 Fill the saw completely full and then just start and run you saw once a month to keep everything moving and working as it should. It will purge the fuel out of the carburetor and fuel lines. Running the saw about a minute should get it up to operating temperature and burn off any moisture that may have accumulated in the muffler, etc. If the saw is full, air cannot get into the fuel system through any tank vents, contact with air is what causes the fuel to oxidize (turn to varnish).
In California there are some exotic fuel blends with some crazy additives. Some of these additives do bad things to rubber fuel lines. Most manufactureres have "California" fuel lines. They generally have a higher concentration of Viton in the rubber itself which makes it more resistant to the exotic blends of fuel.