Terraria – How to defend against wyverns

Here is what I ended up doing:

• Searched for Gold to create gold armor and weapons (doubtful you'll get full gold gear)
• Killed the Eye several times for Demonite Ore
• Destroyed two Shadow Orbs for their drops (the third spawns the boss Eater of Worlds)
• Dynamite the Meteorite and Magic Mirror out of there (after enough of it is mined out, the meteor heads will stop spawning) then use a gold Pickaxe or higher to mine the Meteorite.
• Floating Islands. Craft your skyways during the day, the spawn rates are higher at night for Harpys. Remember these skyways disrupt Meteors, making them very non-profitable.
• Explore under the surface! There are plenty of hearts and chests filled with great magic items! You don't need to go too deep either. Try natural caves.

Now is also an excellent time to farm hearts and stars, and participate in the Blood Moon event for cash. I think the game gets really fun once you get over this little hump in character progressions.

I tended to make little goals like:

1. I will mine this meteor.
2. Then I will look for hearts.
3. Then I will search for floating islands.
4. Then I will destroy another shadow orb.

You get the idea.

EDIT: Sorry I can't provide links, at my desk and unable to reach the wiki.

EDIT2: See this question/answer as well for a similar problem.

There are several problems with hell and several ways to overcome them.

Hellstone

• Wearing an Obsidian skull will stop you being bunt from standing on it.
• Putting sand on top of the block before mining will remove the lava that is created.
• The buildings in hell give an excellent vantage point for mining the hellstone through the wall.

Lava

• Rocket boots allow you to cross large lava lakes easily, they are sold by the npc Goblin Tinkerer.
• Grappling hooks or Ivy whips work in similar ways.
• Placing sand above the lava will remove it when the sand falls into it, but you have to build up from the bottom.
• Water walking potions also allow you to walk on lava without being hurt.
• There is a trick with flippers that allow you to swim above the lava.