I grew up in the area. Pt. Defiance is an awesome park with a great 5 mile road cycling loop and at least 20mi of beautiful trails to run on. Riding across the Tacoma Narrows Bridge will let you hook up with the Cushman trail bike path which will lead you into Gig Harbor and lots of great, low-traffic riding from there out on the peninsula.
There’s a triathlon series at Ft. Lewis and some great lakes for open water swimming. The weather is beautiful for 6 months of the year and drizzly/gray for the other 6 months.