Pedro linked with Olivier Giroud to score after 17 minutes and a well-executed free-kick saw Willian hit the back of the net after 65 minutes.
Callum Hudson-Odoi was once again left on the bench, but the winger came on in the final stages and made it 3-0 in the 90th minute.
It was a simple night for the Premier League side, who should advance from the second leg after a satisfactory performance at Stamford Bridge.
Olivier Giroud Is Chelsea's Best Striker
Maurizio Sarri continued to implement his favoured tactics against Kiev at Stamford Bridge, but left his primary talent on the bench.
Eden Hazard and Gonzalo Higuain were named as substitutes, with the level of opposition poor from start to finish.
Giroud was given the rare task of starting as the No. 9, and the France international delivered a fine performance.
The 32-year-old spent extended periods on the bench at former club Arsenal, but the player is better than his six Premier League starts this term suggest.
Giroud is not just a goal poacher, and he proved his creativity and vision as he assisted Pedro for the opener.
The striker played a sumptuous backheel through his marker's legs, allowing Pedro to skip through for the finish.
It was his best moment of the match and showed Giroud is a talent who is underappreciated.
OptaJoe highlighted the player's influence on his team:
Giroud's skill set is perfect to play as the lone striker. Higuain has previously proven himself to be a world-class finisher, but the Juventus loan forward does not possess the Frenchman's ability to link play.
Higuain has appeared jaded even after his fresh start at Chelsea, and there's a case for Giroud to start more games in the final stretch of the season.
With Hazard breaking from the left, a partnership with the former Gunner could bring Sarri the consistency he craves from his team.
Chelsea and Kiev both feature on Sunday. The Blues are in Premier League action against Wolverhampton Wanderers on Sunday, while Dynamo welcome bottom side FC Arsenal Kyiv in the Ukrainian Premier League.