Look at these links:
https://www.chesskid.com/learn-how-to-play-chess.html
http://chesslessons4beginners.com/tactics/lesson-9-chess-tricks-basic-tactics.htm
https://www.amazon.com/Chess-Childs-Play-Teaching-Techniques/dp/193627731X
https://www.amazon.com/How-Beat-Your-Chess-Gambit/dp/1901983056
https://www.amazon.com/Chess-Tactics-Kids-Murray-Chandler/dp/1901983994
https://www.amazon.com/World-Champions-Guide-Chess-Step/dp/0812936531
http://www.uiltexas.org/files/capitalconference/Randolph-TeachingChesstheEasyFunWaywithMiniGames.pdf
http://kidchess.com/play-chess/knights-tour/
After you learn the rule of chess, the best way you can improve your game is by solving tactics problems. Solve tactics problems appropriate for you. You should also play games.
Teach these in order
how pieces move
teach capture
value of pieces(queen=9 points, rook=5, bishop/knight=3,pawn=1).
how the game is won by mate
two rook against a lone king endgame mate
castling
show some basic mates and tactics like pin and fork.
Once they learn basic tactics, let them solve some puzzles. If they can't get the answer after trying for 5 minutes(or more) show the solution.
Word's Champion Guide to Chess by Polgar is a good book for beginner tactical puzzles. Let them play other kids as this will make them appreciate chess more. If they lost a game, tell them it is part of learning process. Join tournaments as this will also motivate them and make them appreciate chess more. Make learning process fun and you should teach them 30 minutes max. If they ask for more time, then teach them more.
So I never really got to play chess (very blue-collar household) but I've always regretted not learning how to play. It was never really anyone's fault, my mother was a homemaker with three kids all less than 2 years a part in age and my dad was a union guy who would rather bond over football and rugby than books and games such as chess.
However, I would like to teach my kids the game (use it as a bonding experience). Of course, this is a bit of a problem, because I don't really know the game myself. I've been posting on a number of forums looking for a resource to either quickly learn the game myself and then get better as I go or find something that I can use to teach my kids and myself at the same time.
I cam across a game called QuickChess, which is a board game that is also now running some sort of Kickstarter campaign (https://www.kickstarter.com/projects/1953071170/quickchess-25-years-multi-award-winning-game-goes). It looks like an ok place to start, but I'm by no means married to it. Is this something that will help me learn enough to begin to teach my kids? Or is there another, stronger avenue that I can pursue?