The ones with the humans are the mounted network shares. You can safely drag those to the trash, but it will unmount the shares.
Unfortunately, when using aliases, there is no easy way to segue their icons into network shares. They are and will remain two different artifacts. You can store them some other place. That's the easiest solution. You can put them in the Finder sidebar. At least they will be separate from the mounted shared that will also show in the sidebar.
There is a long list of other approaches. You could add the aliases as login items and they will mount the drives as soon as you login. The downside is that they will always be mounted that way. If that's what you want, then go for it.
There are also other options, like favourites in the Finder's Connect to server dialog. And there are some 3rd party apps that will help.
I should caution you that network shares really are a 30 year-old technology. They aren't well-supported anymore. You might experience some problems with network shares that you haven't encountered on Windows. These days, people use file sync services across the internet. So from time to time, it might seem like network file server support is some kind of brand new feature in macOS. In fact, it is. Modern Macs are nothing more than iPhones with displays, keyboards, and AC power. iPhones typically never connected to network servers. So then, the iPhone OS gets ported to the Mac, which didn't have great networking to being with, and it seems like the Mac doesn't know how to deal with this 30 year-old technology.
Years ago I would have recommended you use the built-in automounter. That would have done everything you expect. Apple used to have a support document for it dated 2009, but they took that down. The functionality is still there, but I don't know how well it works. The last time I tried it in 2016/2017, the auto mounting worked well enough, but Finder would regularly choke on image previews and would corrupt network documents. So that's where we are.
