I have a question about the H-1B visa.
If you do a residency on H-1B visa, what happens after you finish residency?

Do you get a green card or do you have to get another H-1B?
If you get another H-1B (which is what I have been hearing) then are you limited
to cap-exempt employers?
Because otherwise I don't know how one would get another H-1B.

if the employer is subject to the annual H-1B cap, if would be near impossible
to get the H-1B, because the cap runs out so quickly.

Can anyone please provide some help on this topic?