Different shipping prices for different products

Is there a way I can have different shipping methods and prices for each product. In other words, I want Product A to only show $5 for shipping and Product B to only show $10 for shipping. I don't want to show both options on each product. thanks.

You could do like that:
set a weight of 1kg for product A and 2kg for product B.
Then, create some manual shipping methods:
from 0 to 1.5kg => $5
from 1.5 to 2.5kg => $10
from 2.5 to 3.5kg => $15
from 3.5 to 4.5kg => $20
..etc..

Is there any way to do this differently? With this solution it changes the shipping charge when they order more than one product. I want it to stay fixed no matter if they order 1 or 50. The weight is changing adding up and changing the shipping rate.

I thought that it was how you wanted it.

Then, you could have a weight of 1kg for product A and a volume of 1m^3 (height*width*length) for product B and create three shipping methods:
>= 1kg and < 1m^3 => $5
< 1kg and >= 1m^3 => $10
>= 1kg and >= 1m^3 => $15