Ms. Low-Tech could use some help

It appears that Flickr and Blogger/Blogspot.com are no longer on good speaking terms--I can't post a link to a photo on Flickr that I don't want to embed on my blog for everyone passing my office computer to see.  If someone could enlighten me as to the current method of linking to a photo and/or a good website to use for my photos in order to enable linking, I'd appreciate it.