The Dink Network

I am in this area with a sign that says "which way? that away? count!". Presumably, one of the beds or barrels in one of the connecting rooms must move. Which one in which room? The lead-in rooms have three, five or many coins and I can't reach the beds in any.

It's the coins you need to count. I can't remember exactly how it works, but you could always look at the walkthrough. The answers for all the riddles are at the bottom.

SPARROWHAWK, right: look at the walkthrough ("Dink Solutions--- google it and click on dmods), it's been a while since I played it ,but if your still stuck, I'll try to help!

I'm not quite sure what you're getting at. You do realise the word walkthrough is a link? Or should be. Works for me anyway.
There is also a link to Dink Solutions on the left under Partners.

Figured it out. I had to break that first barrel to make the turn once I got on to the rocks.

Also:
"Dink Solutions--- google it and click on dmods
Why Google it if there's a link just on the left of this site?

Ctrl-t, "dink solutions", Enter is easier than moving my mouse, and/or having to look for a link.

I think I am at the coin puzzle. What does it mean by "The way to go is: One, Three, lots, Five."

Count the coins... one doorway will have one coin next to it, so go that way. In the next room one doorway will have three coins, go that way. And so on.

What do you mean by "go that way"? Go through the maze?

There are two groups of coins on the screen in each connecting room, right?

Right. I have seen the 1 - 2, 2-3 and lots. Where's the 5-6?
What do I do when I get to these screens?

When you reach a room with a 1 and something else, go in the direction of the 1. That should place you in a room with a 3 and something else.

When you reach a room with 3 and something else, go in the direction of the 3. That should place you in a room with lots of coins on one side and not so many on the other side.

When you reach a room with lots of coins on one side and not so many on the other side, go in the direction with lots of coins. That should place you in a room with a 5 and something else.

When you reach a room with a 5 and something else, go in the direction of the 5. Then go up and answer "toilet".

Thanks.