Five spiders

I am a tiny spider
Who fell into your sink,
But every time I try to climb
I slip when near the brink.

I am that horrid spider
In your bath as white as snow
But how the heck I got in here
You'll never never know.

I am the speedy spider
And think it such a hoot
To make you jump and shriek
As round your floor I scoot.

I am a jungle spider
And feed on birds and mice.
I have no teeth so suck 'em dry
Which isn't very nice.

I am your nightmare spider
That comes to you in dreams
So ghastly that you wake the house
With terrifying screams.