How can I get more wool in Minecraft?

In the game, I loaded up a new world and got a sparse supply of sheep and spiders.

Solution 1:

Make a sheep farm. Basically get some sheep (at least 2) in an enclosure - simplest is a two block deep area that they can't jump out of (Place a ladder one block off the floor for yourself to get out) - and feed them wheat every 5 minutes to breed up a large population. Then you can shear them for wool.

Tip: if you want a specific color of wool, dye the sheep that color and their wool will always regrow in that color till you dye them another color.

Solution 2:

Your best bet is to explore around. Spiders are pretty common in underground areas, especially if you can find an abandoned mine you can harvest the webs (with a sword in hand). They will also spawn at night (unless you are playing peaceful). You may even find a dungeon in your underground travels that spawns spiders. You can turn this into a slaughterhouse and farm away.

As for finding sheep. they commonly appear in meadow biomes so wander around to find them and then lure a few back (hopefully you don't have to travel too far from your home) and create a little fenced in area for them and start breeding them.