Family vacation in Bogotá is a great idea, Colombia's security has improved a lot in the past years, precautions and safety concerns are like any other mayor cities in the world.
Children will enjoy having a good time in the different malls and would be pleased to taste the different colombian plates in the hundreds of luxury restaurants out there.
For recreation centers, among the most popular are Salitre Magico and Mundo Aventura park with a lot of attractions for adults and kids.
Visiting the Bogotá's downtown is definitely outstanding for any person, you can admire the spaniard acient architecture, modern architecture along with the charming Colombia's people. It is highly recommended to visit Monserrate church at the top of one of the mountains of Bogotá located in the downtown area called "Candelaria".
Around Bogotá there's the Catedral de Sal in Zipaquira town, a salt church inside a mountain and 10 minutes far there is Chia town where you can find a lot of restaurants like Andrés Carne de Res, perfect for families and celebrations
Children always love a colombian candy called "bom bom bun" you can buy one in any grocery store in Colombia
The most evident risk you might have in Bogotá with your children is having them asking you for a salsa and vallenato dance classes.
Enjoy this charming and vibrant city.