By far, the best way to travel in and around the Morganville area is by personal car (your own or one that is rented). Routes 5, 8, 19 and 63 all cross into the area and allow you to get to most attractions nearby.
Access to the area is normally by I-490 exit 1 to route 19 or by I-90 to the 490 exit (exit 47) and then use the exit 1 off I-490 to route 19 south.
Travel two miles south on route 19 and connect to route 8. Go west on route 8 for five miles and go south on route 237 (Byron-Holley Road) which becomes Morganville Road and goes through the center of Morganville.
If you are in the Batavia area, then take route 33 (route 5) east about 5 miles to the village of Stafford and then take route 237 north about 2 miles to get to Morganville.
From the south, take route 63 or route 19 to connect to route 237 (Transit Road) and then go north on route 237 for six to ten miles to get to Morganville.