No I would pick one or the other not both. It sounds like you already have enough differences in the kitchen (cabinets and countertops) the hardware should have all the same pulls and knobs to help tie it all together. Plus bin pulls have a vintage/traditional feel and bar pulls are sleek and modern. It just depends what you're going for.
One more thing to note. I love the look of bin pulls but as a tall person hate the functionality because I can't reach through them from the top. It's very awkward to use them for low drawers especially. I would only use them on lesser used cabinets like a china hutch or spare dresser. Just something to consider before you spend all of that money on hardware.