About Eth2 and its clients

I'm not a staker but I have reasons to be interested. I've worked on setting up staking on test networks for my own edification and my impression is that it is complicated. This is not a complaint, or criticism. There are easier ways of doing what I was doing and they're getting easier all the time, as they should.

I was struck by the fact that two clients are required to run a staker. For example, Geth for "eth1" and Prysm for "eth2". I have a few questions about this situation and my knowledge may be wrong/outdated...

Is Geth being retired and Prysm being rolled out as an eth2-only client? When eth2 is fully rolled-out, will Geth be deprecated? Can Prysm not do the eth1 stuff on its own? (making it unnecessary to run a Geth as well)? Is not is this stuff being built out or maybe that's why Geth is required...? So Prysm devs don't need to waste time implementing for the deprecated network...?

If e.g. Geth and Parity are being shelved, are there widely-used eth1 clients that will experience a smooth eth1 --> eth2 transition? Is Prysm more or less considered to be "the new Geth" and Lighthouse "the new Parity", or is the common language the only major tie these projects have to each other? It seems unlikely the share no common heritage.

I assume after being fully transitioned, we won't need eth1 clients anymore and so this two-client situation is temporary. I'm aware that you could use someone else's client, assuming you had the right privileges.

I know that's a lot of questions!!

I am grateful for any and all answers! Knowledge is power. Help me help you slay the banks.