I pretty much live and die by minimalism. Makes it super easy to identify what's important.
I'd have to say minimalist living is variable for everybody. It doesn't necessarily mean having absolutely no stuff, living a boring existence, or anti-consumerism, but rather, is about identifying true needs, reconnecting with significant parts of your life, and dishing money for experiences, rather than material items.
For example, I have a non-stick pan, a wok, stock pot, and normal pot. 8" chef's knife, paring knife, steak knife, fork, spoon. One plate, one bowl, pair of chopsticks. Tongs. That's pretty much it, not including a bunch of spices, and some extra empty jars.
However, like I said, people's needs are different. Since food is something I love, am passionate about, and care for, I will spend more money and buy additional things if needed. It's about what's important to you. Crock pots are great for stocks and busy folks.
I find that the simpler I keep my kitchen, the less food that gets rotten because I can SEE it, and the cleaner my flavors are. Simple food is quite hard to make sometimes...like perfect buttery-roast chicken, stir-fry beef with basil, or basil eggplant.
Think multitask. Each kitchen item should be able to do alot of things. I don't recommend one-chop-stop type of items (basically super specialized items to the point of ridiculousness.) Once you start creatively thinking the kitchen, you'd need less and less.
Salad spinner: Big towel, your arm. Swing. or colander, spin by yourself.
Steamer: Heavy duty foil with holes.
Peeler: Paring knife.
Control Clutter. Ask yourself, "Do I really need this?" For large purchases, hold off a week or two. Ask yourself again, "Do I really need this?" Usually, it's no.
Control Mental Clutter. The world is chaotic. Relinquish control and go with the flow. When you do a task, be in ONE mind. Multitasking is no good. Be present in the moment.
"Get organized" is one piece of advice I hear alot. I say, if you're a minimalist, there's nothing TO organize. Easy peasy. Donate stuff you don't use. Or sell it. Or craigslist. Freecycle. Goodwill. Do you really need 56 pairs of shoes? 30 t-shirts?
When you get to the extremes (like those # item challenges, like on owning only 100 things)...it's kinda fun too, if you're into that.
I find waking in a near empty room very enlightening, and very stress-free. But I'm pretty far into minimalism. If you asked me to move, I could fit all my stuff in a Ford Focus, furniture included, in 2.5 hours. Traveling light is super liberating as well...!
I'm not sure if that's something to be proud of?
Leo Babauta has some great posts that got me going.
Hope that helps. Hope you can simplify and feel great about it!