Depending on the platform you are using to blog, you might need a sprinkle of alchemy to get those GIFs doing their animation in your blog.
Embed codes will work on Blogger and tumblr (make sure you switch to HTML editor).
But also GIFs are just image files, so for Blogger, tumblr, and WordPress, the most direct way is to download the GIF image to your computer (note the GIFs in twitter are actually mp4 files and not easy to use, but if the GIF is in a tweet, you can embed the tweet and the GIF should come along for the ride); make sure the file name you save ends in .gif.
Then you just upload/add it to your blog post like any other image. One small note for WordPress is that you should select the Full Size option from the Insert Media window.
When you work in an Office Space, it’s often easy.
That’s what I just did there.
For WordPress, it’s Even Easier for GIFs from Giphy
In WordPress you can use the Auto Embed feature that also works for tweets and YouTube/Vimeo videos. Okay, let’s try. I find a GIF on giphy.
I put it’s web address as plain text on a blank like
https://giphy.com/gifs/divorceonhbo-weird-hbo-3o7WIpvPm4G2ykbOxi
Woah.
The visual editor does not show me a preview like other embedded media, but the Preview buttons shows me the GIF. Oh wait, it does when I press RETURN after the URL.
This could be TROUBLE
Now you can haz GIFS. In your blog.