Here's what I would do:
Use FileZilla or another dedicated email client, not Dreamweaver.
Use Dreamweaver for your development/changes only.
Use sFTP, so your details are encrypted.
Set up FTP accounts in your cPanel, so you're not connecting using your default FTP account/cPanel username and password - but instead e.g.
[email protected]
Switch to a better host. They should have advised you regarding the above, assuming you asked, and should have told you what FTP service they use.
Lastly, any decent host will run brute force protection, and anyone trying your password will fail and get blocked by their network.
So really, as long as you're using sFTP, you keep your PC in good order and secure (as you should anyway), and you've set up an FTP account with a strong password (as you should), then there's really nothing to worry about.
Good practice and precautions on your side, combined with secure, well managing hosting on your provider's side, will mean any risks regarding your worries I'd say are sufficiently managed.
Hope that helps,
Dan