Butter St 4 is the easiest to get both the dogs and the "no click" awards. You start the level with a bunch of money and dogs so all you need to do is buy some cats and work the level without picking up anything off the field. Careful with growing grass so that you don't accidentally click on anything, though!
I found by accident that you have to let the game total screen at the end to play all the way through to get the awards. If you click on the "continue" or okay button (or whatever it is. . .), you can short it so the awards don't come up.
Filling the warehouse is easiest on the last level because you've got access to all buildings and bears. The bears stop dropping after a certain point, so you have to make sure to have them stored for later in the game. I kept some room open by not keeping a chicken, egg, or pig, figuring those were easy enough to acquire once all the other slots were filled. Just in case you haven't run into this before, the name "filling every slot" is actually misleading because you'll have one slot open and the award ultimately says something like getting every animal and product. Also, I didn't actually "get" the award until I opened the warehouse after the slots were filled.