Utah honors a permit from any State, so you are good there.
The permit allows you to keep your firearms loaded in or out of your vehicle as well.
You do not need to inform law enforcement in Utah.
Utah is open carry friendly. I can't recall any specific cities or towns that harass more than others.
Utah is fully pre-empted, so no need to worry about local ordinances.
Your permit also exempts you from Utah's "Gun Free School Zones", so carry on! :celebrate
Your out of State permit will not exempt you from the Federal K-12 "Gun Free School Zones, so be aware of that.
"No Guns" signs carry no legal weight in Utah, and there are very few places that are off limits.
Federal buildings, secured areas of courthouses, jails, mental facilities... the places you probably aren't going anyways.
LDS houses of worship are also off limits, but other churches should be OK. Just look for signs.
I live just one minute from I-15 in Utah County, so feel free to stop by and buy me a burger.