Evanston and the surrounding area offers some things to do.
Today the Bear River is running at 263 cfs. In a few days with warmer temps the river will be above 350 cfs. That makes for good kayaking and or packrafting on the Bear River. Evanston has rafting/kayaking from the State Park (by the Elk) to the Ice Ponds. From just above the freeway overpass the river is curated with boulders and provides decent class I and II rapids. In May we often get kayakers from the Wasatch Front who go to surf waves at the Debbie Smith Bridge/Bear Paw Rapids. Stand up paddleboarders are also on that rapid. Ursa Minor and Ursa Major Rapids are also fun to run, but do not have the standing waves like the Bear Paw Rapid.
Personally, I do quite a bit of walking/hiking/dog training on the BLM land above the Bear River State Park. There are quite a few mountain bike trails in that area. Most of these are gravity rides; there is a stunt bike area, and river trails. There are two large pens with buffalo in one and elk in the other. Moose usually roam free on the other side of the river. There are signs about moose being protective of their young. Picnic tables, restrooms and walkways are adjacent to the river.
Further up Highway 150 are the Uinta Mountains. It is transition season with snowbanks that are melting. Lily Lake trailhead were the yurts are located will be a decent place to hike, but you will most likely encounter a decent amount of mud. Christmas Meadows is likely under snow for a few more weeks. Typically the Mirror Lake road is cleared about mid-June. Mirror lake area is the gateway to the Highline Trail across the Uintas. An excellent overnight backpack trail is the Notch Lake/Ibantic Loop trail that is nearby. Mt. Baldy is a great Saturday morning hike of about 2 hours (one way) and offers excellent views. Fishing can be done at Sulphur Creek Reservoir; I recommend fly fishing in some of the creeks in the area.
There are pioneer and historical things to see in the area. The pioneers came into the area about nine miles south, but the railroad made Evanston a stop. In town, there is one of the few roundhouses left in America. Most of it has been restored. Once a year there is a railroad model train festival. As for festivals there is a Celtic music festival that just happened in March. They get performers from around the world. In July there is a bluegrass festival. Also on July 4th, Evanston gets a large number of people who spend small fortunes in fireworks. The town becomes Little Beirut in terms of areas of the city lighting off fireworks, and that is before the city provides their show.
Just to the southeast, there are the Piedmont Kilns. These beehive like large buildings are remnants of the charcoal manufacturing process and sits in a ghost town today. A few miles away is Fort Bridger in Mountain View. This is a pioneer village and has the second largest mountain man rendezvous in the nation labor day. Evanston's rendezvous is the week before. To the west is Echo Canyon that has quite a bit of church history with Lot Smith and Johnson's Army.
Mountain bikes, boats and fishing poles are really just toys for grown-ups; so go be a kid again. After all, we've got plenty of trails for getting mud on those tires, including those in Guernsey, Buffalo Bill and Curt Gowdy State Parks. If making a splash is more your style, we've got space for...
https://wyoparks.wyo.gov/index.php/places-to-go/piedmont-charcoal-kilns