[verb (plain)] + んだって [i-adj] + んだって [na-adj] + な + んだって [noun] + な + んだって
んだって passes on something you heard: "I heard that…", "apparently…". It goes at the end of a plain-form sentence, with な after a noun or a な-adjective, and it is casual speech among friends and family.
The ん is the explanatory んだ, and って quotes what someone said. A noun or a な-adjective takes な, not だ.
At work or with strangers, use そうです after the plain form: 引っ越すそうです, 医者だそうです. んだって sounds too familiar there.
With a rising tone, んだって? checks something you have heard: "Is it true that…?"