Make a full day out of your trip and bike to Theodore Wirth Park, which is easily-accessible for bikers. Minneapolis has a great bike network, with bike lanes on almost every road. To get to Theodore Wirth Park from Northeast or North Minneapolis, follow the bikes lanes on Plymouth Avenue and Lowry Avenue which run along the side of Theodore Wirth Parkway. From the Midtown Greenway, take the Burnham Trail, then turn left at the intersection with Cedar Lake Parkway, cross the railroad tracks, and follow the trail along Cedar Lake. When the trail splits, head uphill on the narrow trail, then cross the street at the light to continue on the trail. From Downtown Minneapolis or St. Louis Park, take the North Cedar Lake Trail to the Cedar Lake Trail, then head north. Given the ambiguous and constantly changing nature of trail names, you can check your route by clicking the Directions link to Google Maps, then select bicycle as your means of transport. There aren't any bike racks there, but there are plenty of parking meters for you to lock your bike.