Believe it or not, Ikea has some chic items to choose from. I could never do my whole house in ikea due to most of it being that shiny fake lacquered look, and lack of textures, but there are some good pieces you could build on.
Like the Billy Bookcases w/glass doors:
Or the Mongstad Mirror for only $99 ( i have 2, and love them )
This is a fun new lamp they have for $69
And the famous Ung Drill Frame
The Trollsta Sideboard
This bedroom has the Edland Bed and dressers/nightstand
And of course the Hemnes collection, which is actually really sturdy.
The Hemnes dresser is favorite. I have it in Bryn's nursery and it's not only sturdy, but the drawers are big and lined with pretty striped paper.
I like this shoe storage cabinet too, would work well in mudroom if you are short on space.