You have several mailboxes on your domain and mail arrives in a mess: everything mixed in the same inbox, with no distinction between customer queries, site notifications and administrative mail. The fix does not necessarily mean creating more mailboxes, but using the organisation tools already built into the hosting panel that almost nobody looks at.
Why it is worth doing this from the server, not from the mail program
You can build organisation rules in the computer's mail program (local filters), but they have an important limitation: they only work on that device. If you later check mail from your phone, those rules do not exist there, and the message arrives just as disorganised.
Rules configured from the hosting panel, on the other hand, act on the server before the message reaches any device. They are set up once and apply everywhere you check that account: computer, phone, any program.
Filters: the most versatile tool
A filter is a rule that checks every incoming message and, based on what it finds (the sender, a word in the subject, an attachment's size), decides what to do with it: move it to a folder, flag it, forward it, or reject it outright.
The most practical everyday uses for a domain's own mail:
Separating by type of query. If messages from a site form always carry a fixed word in the subject, a filter can send them straight to a folder separate from the main inbox, to review at a dedicated moment instead of interrupting the rest of your mail.
Stopping recurring spam. If one particular sender keeps sending unwanted mail the general filter does not catch, you can build a specific rule to discard it before it reaches the inbox.
Prioritising important senders. Messages from key vendors or from your own hosting provider (renewal notices, alerts) can be flagged so they stand out and do not get lost among the rest.
Sorting by sender domain. Everything arriving from the same domain (a vendor you deal with regularly, say) into its own folder, keeping that relationship's history grouped together.
Forwards: one mailbox, several destinations
Forwarding sends everything arriving at one address automatically to another, or to several. It is the right tool for two very common situations.
The generic address nobody checks on its own. An "info@" or "contact@" style mailbox people type out of habit, redirected to the account you actually check every day, so you do not need to open two inboxes.
A team that needs to see the same messages. Forwarding a shared mailbox to several individual addresses, so each person sees it in their own inbox without sharing a password.
One important clarification: forwarding does not replace having the real account. You can forward and still keep a copy in the original mailbox, which is worth doing if you might ever need to go back to an old message at the source.
Auto-responses: when they make sense and when they do not
An auto-response sends an automatic message to whoever writes to you, without you having to do anything. It has one clear use and one you should avoid.
It makes sense for announcing specific absences (holidays, leave), confirming a support request was received and will be handled within a certain time, or giving an immediate reply to frequent questions while the real answer is being prepared.
It is worth avoiding as a permanent replacement for real attention. An auto-response left on all year, with nobody ever reviewing the real messages afterwards, creates the worst possible experience: whoever wrote believes they were helped when in fact nobody read anything.
One technical detail worth knowing: most mail systems avoid sending the same auto-response to the same person more than once within a certain period, to prevent an infinite back-and-forth between two mailboxes auto-replying to each other.
How to combine them for a domain with several mailboxes
The typical setup that works best: each themed mailbox (sales, support, admin) with its own filter sorting incoming mail into subfolders by type of query; the generic address forwarding to the mailbox that actually gets checked daily; and an auto-response turned on only during specific periods where a delay needs announcing, not as a permanent setting.
With those three pieces properly configured, the domain's mail stops depending on each person building their own rules on their own device, and starts arriving already sorted straight from the server.
How to test a filter before trusting it
Before considering a new rule finished, it is worth testing it with a real message instead of assuming it will work as intended. Send yourself a test email that matches the filter's condition and confirm it ends up exactly where you expected, not in the main inbox and not lost in the wrong folder by mistake.
This is especially important to check when a filter includes an automatic-discard action: a poorly written condition can delete legitimate mail without you ever finding out, because it never arrives anywhere you would notice. Starting by moving to a folder instead of deleting outright, at least for the first few weeks, is the safest way to confirm the rule does what it is supposed to.
Once a rule has proven itself over a couple of weeks with no surprises, only then is it worth trusting it with a stricter action like automatic deletion, if that is really what the situation calls for.