First off, the Spring Hill Trail is a great moderate hike with some elevation right off I-5 and downtown Mt Shasta. There is an Instagram ready view of Mount Shasta on the way up and views of Black Butte and Castle Crags from the summit. Dogs are OK, bikes are not, and kids will love it:)
Secondly, Mount Shasta City Park offers 2 miles of easy trail. The headwaters of the Sacramento River are are a great place to cool down after your hike! The headwaters are a very special place. Another option is to hike the City Park before tackling the moderate hike up Spring Hill.
Still a few months to finish the 2023 Mount Shasta Trail Challenge! Check out these and all the other great Mt Shasta area hikes on the Trail Guide tab of the MSTA website here.