As far as I know there are three ways.
You can walk over, through Downtown Disney.
You can drive over which then requires you to park or use valet.
You can take a cab.
Assuming the cab is waiting for you when you want that would be fastest.
Driving over and using valet would be next fastest. If you park yourself at DLH it would be a little longer.
Walking across is easy and only takes about 15 minutes. This is what we doo when we stay at HOJO or Best Western Park Place Inn.