Seems to be a lot of collective experience here with customizing e-mail pipelines. I'm just getting my ducks in a row for migrating to fully self-hosted e-mail

Seems to be a lot of collective experience here with customizing e-mail pipelines. I'm just getting my ducks in a row for migrating to fully self-hosted e-mail and I have an idea of what I want but I'm not sure how best to achieve it. I have not yet fully settled on any part of the stack. What I want: Catch-all e-mail addresses with dynamic filtering/folders based on address. For example, say I have the domain myemail.com. I'd like to be able to register at sketchysite.com with sketchysite@myemail.com. It should get filtered to its own inbox/folder. All these should be accessible from the same application/view/search space inside my e-mail client. I should not have to add new inboxes as they come and go (many will be ephemeral), either on client or server side. By default, replying to an e-mail will always use the recipient address as the sender. Has anybody set up something similar? Any particular client or server you would say is suitable/unsuitable? Only hard requirements are FOSS, Linux, IMAP.