Rails 3 renaming routes

I am just getting started with Rails 3 and I do not quite understand
how to go about renaming routes.

**What I want:**

To rename the path to the users#show controller/action pair. So
instead of the URL being www.example.com/users/show/1 it would just be
www.example.com/1/home

In the future, I'd also like to be able to add additional paths onto
the end such as:

www.example.com/1/home/profile/

**How my user resources are set up:**

    resources :users, :except => [:destroy] do
      resources :favorites, :only => [:show, :update]
      resources :profiles, :only => [:show, :update]
    end

**What I tried:**

    match :home, :to => 'users#show'

**What happened:**

    ActiveRecord::RecordNotFound in UsersController#show

      Couldn't find User without an ID

**What's in the development.log file:**

    Started GET "/home" for 127.0.0.1 at 2011-03-10 13:36:15 -0500
      Processing by UsersController#show as HTML
      [1m[35mUser Load (1.6ms)[0m SELECT "users".* FROM "users" WHERE
("users"."id" = 101) LIMIT 1
    Completed in 192ms

    ActiveRecord::RecordNotFound (Couldn't find User without an ID):
      app/controllers/users_controller.rb:19:in `show'

**What's in the user controller:**

    def show
      @user = User.find(params[:id])

      respond_to do |format|
        format.html # show.html.haml
      end
    end

So, apparently it is storing the user id, as shown in the development
log as 101 but for whatever reason I am still getting this error?

Any help you can provide is greatly appreciated!