Post-apocalyptic sci-fi book about a family that goes into cryogenic chambers in a cave to wake up hundreds of years later

Question

I am trying to find a book I enjoyed reading as a teen. I can't remember the name or authors unfortunately. It was part of a short book series.

It was a post-apocalyptic story about a family that goes into cryogenic chambers in a cave to wake up hundreds of years later. They woke the children decades before the parents so that they would not have to take care of children in the uncertain future. The father had twin 45 pistols and a motorcycle and went about rendering his justice on a lawless world.

Answer 1

Could this be The Survivalist series by Jerry Ahern?

The hero of the series, John Thomes Rourke, is a former CIA Agent trying to find and survive with his family after a Nuclear war between US and the Soviet Union. "He is always armed with a pair of Detonics Combat Master .45 pistols in Alessi shoulder holsters" and his favorite mode of transport was a Harley Davidson motorbike.

After a few books the family go in to suspended animation to wait out the worst effects of the Nuclear War and for a US Space shuttle in a long orbit to return.

Having planned a five hundred year cryogenic sleep to await the returning Eden Project shuttles, Rourke awakens Annie and Michael early, raising them until their late teens. He then returns himself to cryogenic suspension so they'll be adults by the time that he and the others awaken.