Removing/repositioning 'Posted By' etc. on 2012 theme

Hi. I’m running on the twenty twelve theme. I need some help achieving few goals.

1. Remove the Categories and Tags from the *Main* (home) page posts, but keep categories when on the specific (blog post) page.

2. Move the Date next to the blog post title

3. Move the Categories Menu (from the right) into the footer area and move the search into the header.

Thanks ??

edit: forgot about wanting to remove the comment box also.