Filezilla is not secure for saving passwords. If your computer gets hacked, the hacker can access everything and take over not just your computer, but your website or web server. The file "sitemanager.xml" has all of your information in the clear.
I like Filezilla, however. What I do is keep it stored in an encrypted virtual drive file (using Gizo rive), and only open it when needed. That's my solution. That's what most security-minded users do.
The other choice, of course, is to use Filezilla and simply not safe passwords. Write them on paper in your desk. It's an old-school solution that works pretty well in the 21st century. You can hack my computer remotely, but you can't hack paper in my desk drawer! There's no rule that says you must save passwords in an FTP program.
Dreamweaver may be bloated, but as far as I know, at least it encrypts passwords.
So the choice is really up to you.
FTP is actually unsafe compared to sFTP (FTP over SSH). But your server has to support it, of course.