I'm having issue with load speed using multiple jQuery binds on a couple thousands elements and inputs, is there a more efficient way of doing this?

The site has the ability to switch between product lists via ajax calls, the page cannot refresh. Some lists have 10 items, some 100, some over 2000. The issue of speed arises when I start flipping between the lists; each time the 2000+ item list is loaded the system drags for about 10 seconds.

Before I rebuild the list I am setting the target element's html to '', and unbinding the two bindings below. I'm sure it has something to do with all the parent, next, and child calls I am doing in the callbacks. Any help is much appreciated.

loop 2500 times

<ul>
  <li><input type="text" class="product-code" /></li>
  <li>PROD-CODE</li>
  ...
  <li>PRICE</li>
</ul>

end loop

$('li.product-code').bind( 'click', function(event){ 

    selector = '#p-'+ $(this).prev('li').children('input').attr('lm');

        $(selector).val(

            ( $(selector).val() == '' ? 1 : ( parseFloat( $(selector).val() ) + 1 ) )

        );

    Remote.Cart.lastProduct = selector;
    Remote.Cart.Products.Push( 

            Remote.Cart.customerKey, 
            { 
                code      : $(this).prev('li').children('input').attr('code'),
                title     : $(this).next('li').html(), 
                quantity  : $('#p-'+ $(this).prev('li').children('input').attr('lm') ).val(), 
                price     : $(this).prev('li').children('input').attr('price'),
                weight    : $(this).prev('li').children('input').attr('weight'),
                taxable   : $(this).prev('li').children('input').attr('taxable'),
                productId : $(this).prev('li').children('input').attr('productId'),
                links     : $(this).prev('li').children('input').attr('productLinks')
            },
            '#p-'+ $(this).prev('li').children('input').attr('lm'),
            false,
            ( parseFloat($(selector).val()) - 1 )

    );

    return false;

});

$('input.product-qty').bind( 'keyup', function(){ 

    Remote.Cart.lastProduct = '#p-'+ $(this).attr('lm');
    Remote.Cart.Products.Push( 

            Remote.Cart.customerKey, 
            { 
                code      : $(this).attr('code') , 
                title     : $(this).parent().next('li').next('li').html(), 
                quantity  : $(this).val(), 
                price     : $(this).attr('price'),
                weight    : $(this).attr('weight'),
                taxable   : $(this).attr('taxable'),
                productId : $(this).attr('productId'),
                links     : $(this).attr('productLinks')
            },
            '#p-'+ $(this).attr('lm'),
            false,
            previousValue
    );
});