Removing 'search, blogroll and recent article bars'

Hi, I was wondering how I could go about removing the ‘search’ and ‘blogroll’ tabs in the secondary sidebar (right hand side) of the theme. I did have my Twitter feed there, and they were not there, but now that I’ve moved the Twitter feed over to the left hand side, they’ve reappeared.

Also, I’m looking to take out the ‘recent articles’ and ‘more articles’ tabs from the home page, if that’s doable at all.

Any help with this would be greatly appreciated. Thanks.