Spend the extra money and get paint specifically designed for use in steamy rooms. When painting the bathrooms, for example, use a product like Benjamin Moore's Aura Bath and Spa. It has anti-mildew properties, and is designed not to look streaky when condensation drips down. If you don't have a backsplash in the kitchen, you may also want to splurge and use this paint in that space as well.

Other than those specific spaces, you can use the general purpose interior paint formulations for all other surfaces. To ensure it's easy to clean, use a satin/pearl finish for walls and trim. If you want glossier baseboards or door surrounds, use a semi-gloss. The more gloss is in the paint, the easier it is to clean. Unless you want a lacquered look, best not to use high gloss.

Thanks! It's one of my favorite aspects of being an interior designer. Paint truly transforms and defines the mood of a space. Keep an eye on my pro page. I'm currently prepping a house before it's put on the market. I'll be posting before and after kitchen and bath photos in a week or so.