Universal background checks don't prevent guns falling into the wrong hands.  We have that in several states, it's not stopping the flow.  There is no evidence to support a meaningful waiting period, nor limits on ammunition.

Why do you think those don't restrict the rights of gun owners?  That's like a priest saying that requiring a woman seeking an abortion to go through a "waiting period", or having to get a psychological test.

The problem is that the people who say these wouldn't be burdens have never had to deal with the current burdens, both legal and financial, that gun owners already face.  So perhaps it's past time you started considering gun owners.  The reason you make no progress is because you dismiss them.