This is an excerpt from "Bicycle Routes in Thurston County", published by Tezzer's Tours, which I haven't seen online and may be out of print, but thought I'd share a route that includes Tumwater Falls Park...one of my favorite places in the Olympia area:

Tumwater Square

Start at Heritage Park (5th and Water St.)
N. on Water St.
L. on 5th Ave.
L on Deschutes Parkway (turns into "E" st. past Falls Restaurant)
R. on Capitol Blvd.
R. on Linwood Ave (under I-5)
R. on 2nd Ave
R. on Custer Way (over I-5)
L into alley (just before a major intersection)
L. on Capitol Blvd
R. on Carylon Ave
L. on Henderson Blvd.
R. on Eskridge Blvd.
L. on Forest Drive (top of hill)
Stay to left on Fir St.
L. on 22nd Ave. (turns R. into Eastside St.)
L. on 8th Ave.
R. on Chestnut St.
L. on Legion Way (back to Heritage Park)

Points of Interest
Heritage Park
Traditions Cafe
Heritage Fountain
Marathon Park
Interpretive Center
Tumwater Historical Park
Tumwater Falls Park
Pioneer Elem. School
Japanese Garden (by City Hall)
Sylvester Park