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if you just want to remove breadcrumbs from home page and category pages, then you can do it easily by a layout update. Use local.xml file to do this.

File : app\design\frontend\<your_package>\<your_theme>\layout\local.xml

<?xml version="1.0"?>
<layout version="0.1.0">
    <default>
        <reference name="root">
           <remove name="breadcrumbs"/>
        </reference>
    </default>

    <catalog_category_default>
        <reference name="root">
           <remove name="breadcrumbs"/>
        </reference>
    </catalog_category_default>

    <catalog_category_layered>
        <reference name="root">
           <remove name="breadcrumbs"/>
        </reference>
    </catalog_category_layered>
 </layout>