Late autumn is the best time for Utah. The summer crowds vanish, the heat turns into a crisp chill, and the red rocks look better in the soft light. You can actually find a parking spot at the trailheads and enjoy the silence of the desert.
A trip like this usually runs about $1800 for a week of travel. If you want to spread that cost out, you can use the Discover it® Cash Back card, which offers 0% intro APR for 15 months on purchases and balance transfers. APR is just the interest rate the bank charges you, and this lets you pay for the trip over time without extra fees.
Remember that the 0% intro APR is a deadline, not a gift. If you still have a balance after the 15 months are up, the bank will start charging you interest on what you owe.