LMDE uses .bashrc just fine. If you have the proper aliases in your .bashrc, they should be permanent, being sourced every time you open a terminal. You can re-source it without closing the terminal with "source .bashrc", if you don't want to go to the trouble of closing and reopening it after changes. If the .bashrc isn't being honored, you have a problem somewhere. As Habitual said, we would need to see your .bashrc to see what aliases you should be getting. I have a fairly long list of aliases, and they all work every time.
Asus eee-pc 900 w/ 32GB SSD.