@ivymeow I know plenty of 2nd and 3rd generation business owners who do great jobs!
and even in cases where the son/daughter stinks, I try not to care because it isn't my business. A lot of people start businesses with the idea of it becoming something that future genrations will be part of. More times than not people who grow up around those who work hard tend to pick up good habits but of course there are those whose kids are spoiled rotten and end up destorying a company but I think that the former is more common than the latter.
And if you choose to sell your company, that is great(often times they are sold to their children), but i can think of a lot of situations where the children were working at the business on the weekends when they were growing up...and when they get out of school(whether that be collage or high school) they learn the ropes. It isn't as common as people think for the owners kid to graduate school and be made 'executive VP'(and many small businesses are as driven by titles as some thing)
There is a large retailer whose headquarters are near me. (they have like 5000 employees). They are probably 3rd or maybe even 4 generation running things but I do know that the 2 'co executives' both started working retail and were expected to learn every department of the store. Then they worked in purchasing. Then maybe management, first managing a department and then a store. They may advance more quickly than others but they had to start at/near the bottom.
and I think that that is common. I know people who own electrical contracting companies/plumbing/hvac...most often the 2nd/3rd generations owners I know started out going through an apprentiship. While it was less common for women to join the trades in one case I know a daughter went through her apprentiship...but in other cases they start out working doing jobs in the office.
Of course I'm not saying that you should sell or partner with your children but if they were as invested in the business as you and had drive it would be something to consider