Well, the express bus departing from Kunming Nanyao Bus Station could take you to Dali City in 4~4.5 hours, more quickly than taking a train. Of course, it also saves time if you take the night train from Kunming to Dalu. There are two trains (K9614/K9615, L9602/L9603) leaving Kunming at around 23:00 and arrive in Dali the next 06:00.

The distance from Dali to Lijiang is about 165km, taking 1.5 hours by train from Dali Railway Station. Taking bus is also convenient.

Some star-rated hotels do have travel agency. However, if you would like to have a long trip from Kunming to Lijiang via Dali, suggested that you book a Yunnan Tour(https://www.travelchinaguide.com/tour/yunnan/) in advance. It will take you more time and money to join one on the spot.