First, this is completely normal behavior. And you don't have a defiant baby. Just a very curious baby. Which is normal and healthy. I remember how clean my house was the first year. And how when I put something somewhere, it stayed. I thought 'what's all this baby proofing about'. Well, I found out in the second year. My toddler was into everything. If you don't want a "fight" on your hands every day, you simply have to put these things out of her reach. She's still too young to understand the kind of discipline you are trying to use. She may understand the "NO!" when she hears it but she's still not mature enough to COMPREHEND it, REMEMBER it, and put it in her little memory bank, so that she remembers next time to NOT do it. This will come later, as she matures. At her age, it's all about REDIRECTION and REPETITION. You may repeat "no", or "gentle touches" or "ooh, that hurts mommy" about 100 times a day. Eventually they mature and start to get it. You can also use redirection to avoid a tantrum. Meaning, move her from the dog dish, say "no, that's yucky" or "no, that's for Sparky, this is for you", remove her from the dish and give her something else to play with. And mostly, toddler-proofing the house. Yes, that means move the dog's dishes to an area where she can't get to them. When she gets older (and more mature) you can bring them back out.
I also do not agree with swatting a hand, although, Lord knows, you'll get that advice from other moms. It's normal for her to explore with her hands so swatting them is mean and teaches her it's not safe to explore. This around the age we started time outs. But why give her time out for exploring an area of the house that you have not made off limits to her. Time outs should be reserved for things like hitting and biting. That't just my opinion. Home is the one place where my toddler is free to explore without me chasing him around saying no. Anything I don't want broken has been put away. I reserve time outs for the big stuff like hitting, biting, pinching, etc. We spend enough time at others homes, at church, shopping, wherever, where I have plenty of opportunities to teach him what behavior I expect.
Here's a link to another Mamasource mom who had a similar question
http://www.mamasource.com/request/17313751008345587713
And this next link is a classic. It's from Dr. Sears. He's great. There's a lot to read on this link but it will give you an idea where your toddler is mentally and emotionally so you can choose "discipline" that is appropriate to her age.
http://askdrsears.com/html/6/T060100.asp
(as a note about Sear's website, all the info is free, printable, and you don't have to register. He's a great resource!)
Good luck and best wishes!!