He says that no man is a match for a dragon, but that at least buying one of their blades wouldn't hurt. He also tells the Dragonborn that he thinks Jaree-Ra is a plague on the city, much like a few other citizens around Solitude.
"Just arrive in the city? Is it true what they say, then? There are dragons now?"
- Do you make anything here that will kill dragons? "Ha! I like you. No man is a match for a dragon. Buying one of our blades wouldn't hurt your chances, though."
- What does this job pay? "Food, experience and a roof over my head in the finest city in Skyrim. If money's all you hold dear, then you end up like Jaree-Ra. A plague on the city."
- What's your problem with Jaree-Ra? "Captain Aldis can't prove it, but that Argonian is up to no good."
- "Really? I knew he was mixed up in something dangerous, but I hadn't heard he was dead."
"May your sword feast on Stormcloak flesh."
Beirand: "Come on, Heimvar. My son could stoke the forge better than you do!" or "You're making progress, Heimvar. But my boy could still work the bellows better than you do!"
Heimvar: "Yeah, but can he hammer the anvil for eight hours straight?" or "Sure, but I bet he can't hold his mead as well as me!"
- "Think I'll forge me a new sword, just in case things go awry here in Solitude. I'm the blacksmith's apprentice, you see."
- "Apprentice blacksmith, at your service."
- "We've got strong swords and sturdy armor, if you're looking to buy."
- "May your sword feast on Stormcloak flesh!"
- "If you're off to fight, talk to Beirand before you go. His armor is well-forged and dependable."
- If the Dragonborn has completed the quest "Lights Out!," and thus killed Jaree-Ra, Heimvar will say in amazement that he knew Jaree-Ra was involved in something dangerous, but didn't know he was dead.