It's all a matter of taste and style. Drawers can have knobs, too. Mine do. :) For function you want something that won't get too gunky--or better said, will be easy to clean if opened with gunky hands. Something easy to operate with one finger (assuming you have good quality rails). Something that's not hard for big or little hands. Cup pulls (aka bin pulls) are very decorative, but you can only operate them from the bottom. For some, it's worth it for the style. For others, it's a no-go inconvenience. Barrel shaped knobs--i.e., cylinders with no sticky outy parts--aren't the best for the kitchen because they're hard to pull with wet, or even slightly damp, hands. Extra long Euro wire pulls are excellent because you can pull from any direction, anywhere along the length. The look is very simple and modern, but nothing exciting, and a bit tired. I have mostly knobs. They're big and round so it's easy to slide a finger behind and pull out as if it were a pull. My few pulls are thick and solid feeling, and have room between the bar and drawer face for man hands, and not enough bar past the shafts to hook pockets. Part of your decision depends on how much room you have to put the hardware in. If you have slab you can put it anywhere. If you have a framed panel (raised or inset), your choice either has to fit the frame or work well in the panel. In the panel, it really should be centered. An that's a very old fashioned (like centuries old) look. It's mostly used for drawers, where it doesn't have that medieval look. :) A good location for a knob, or one shaft of a wire pull, on a frame and panel face, is the center of the corner. This is not necessary, however. It can be wherever you think looks best.

I favor satin nickel, which I think would look great in your kitchen. Love your round table top. What kind of wood is it?

One pull per drawer is frequently preferred over two, and I think the general rule if you are using only one on a drawer is that it should be about 1/3 the width of that drawer. Personally I got many (many!!) samples of both pulls and knobs and I would recommend you do that as well. It was a huge help in making my final decision. Good luck!

For that small space, I would just do some pretty knobs for the drawers and cabinets. Your pulls can't be very long, because you drawers aren't that wide. The "rule of thumb" for pulls is that they should be roughly 1/3 the width of the drawer, but you need to look at the whole design to decide what looks best for that particular space. Many modern kitchens can look good with longer pulls. It is also very subjective! Personally, I don't love the look of really long pulls.