Ukrainians around Kyiv are escaping bombarded suburbs and going deeper into the heart of the city. As they flee, Russian troops are reportedly firing at them, killing at least four civilians. This comes as Ukrainian President Volodymyr Zelenskyy tells his country not to surrender at any cost while asking the U.S. and NATO for a no-fly zone. NBC’s Richard Engel reports for TODAY. » Subscribe to TODAY: http://on.today.com/SubscribeToTODAY » Watch the latest from TODAY: http://bit.ly/LatestTODAY About: TODAY brings you the latest headlines and expert tips on money, health and parenting. We wake up every morning to give you and your family all you need to start your day. If it matters to you, it matters to us. We are in the people business. Subscribe to our channel for exclusive TODAY archival footage & our original web series. Connect with TODAY Online! Visit TODAY's Website: http://on.today.com/ReadTODAY Find TODAY on Facebook: http://on.today.com/LikeTODAY Follow TODAY on Twitter: http://on.today.com/FollowTODAY Follow TODAY on Instagram: http://on.today.com/InstaTODAY #Russia #Kyiv #Ukraine