[jQuery] Element's inner/children

[noon]

I have the following HTML structure:

<div id="new-msgs">
        <div class="msg">...</div>
        <div class="msg">...</div>
</div>

I have the following code:

$('#new-msgs')
        .appendTo('#prev-msgs')
        .wrap('<div id="p'+pCurrent+'"></div>');

I want everything inside #new-msgs to be appended to #prev-msgs, and
not #new-msgs as well.  Using a selector of "#new-msgs *" loses the
hierarchical structure that I want to maintain (div.msg has
children).  Also using .html() on #new-msgs and then appending
+wrapping results in multiple wraps.

What's the best way to get the contents of a container and append them
somewhere else?