They don't care about you keeping your guns.
They care about you transferring your guns, they care about you maintaining your guns (i.e., parts availability), and they care about you feeding your guns (i.e., ammunition and components, and reloading tools).
They're patient, and they've got incrementalism down pat. They know that if they can continue slowly gaining compromise after compromise, your guns will, inside of a generation or so, be just so much worthless scrap metal.
As to passing them down to your children, well, once transfer is made illegal, with draconian penalties for those who cannot demonstrate legal provenance, then there'll be very few of the next generation who'll be willing to throw their lives away for an infraction.
What? You say your children won't be moved by those considerations? That doesn't matter. They're playing a numbers game. Plenty will be so moved. Most, in fact. That's what they're counting on.
The only thing that can stop this from happening is for "our" side to stop "compromising" away the farm. "Compromise" is inevitably a one-way street. You don't see the antis "compromising" anything they want. It's always the pro-2nd people who are called upon to "compromise" If you only lose ten percent a year, on average, it won't take long to lose virtually everything.
Sadly, I don't see "our" side doing much other than weak-kneed talk about holding the line, more or less, for a while. Nothing about turning back the tide. In fact, I hear proud talk about maintaining the current morass of legislation, as if it's a good thing.
They also know that the people will continue to willingly, even gladly, compromise time and time again. It the 'lesser of two evils' ya know.