I like to cook, but I HATE to clean up which is just as bad because I'll avoid cooking so I don't have to clean. But I think you're right, you should find some way to enjoy or at least tolerate cooking- you shouldn't force yourself to do something you absolutely hate, but there has to be a way to make it more enjoyable. And as far as your daughter being picky goes, you kind of have to ignore that. At this age kids start to become more picky, but if you give in and give them only what they want then the STAY picky and before you know it you still hate to cook AND you're fixing three different dishes to accomodate everyone. Whatever you cook/ eat your daughter should eat. And if she refuses to eat it, fine, she'll be hungry (I'm pretty free with snacks because I almost always have only healthy snacks, but if my 21 month old refuses to eat a meal I make her wait 90 min before she can have a snack). No kid has EVER starved themselves to death, I promise. And if you are firm it will pass and you'll have a good eater. But don't translate this to mean you have to make them eat- if she chooses not to eat something the best thing to do is just let her down from the table. If you try to MAKE her eat it you'll end up with a power struggle, and that's no good.
Back to hating cooking- find the SIMPLIST recipies you can, and if you can afford it I would still go out or get takeout when you want (healthy choices for your child's sake, though). I don't know what you like, but anything from Rachel Ray is really good and fast to make. And if it makes you feel any better about cooking, enlist your hubby to help clean up- it helps me a lot!