Can I transfer songs from an old MP3 player to an Ipod?

I just a bit ago got an new Ipod nano for my b-day, and it’s my first Ipod, previously I have had two other MP3 players of different brands. I need to know I have a ton of songs I want to keep on my old Sansa Fuze MP3 player. I would really like to transfer these songs to my Ipod rather than re-downloading them all, there are a LOT! But since I am new to Ipods I do not know if this is possible and how to do it. I sure hope it is possible.