Free
Useloom

Chrome plugin rated 5-star
​vidyard

Chrome plugin rated 4.5-star.
Free video hosting. You can use the service to upload your videos.
Paid
​Snagit
That's the tool I use on a daily basis, here's a video overview.
It comes with 2GB of free video hosting that will give you a URL to share your videos.
droplr

Desktop software and plugin available for $39 one-time.
No Download
Windows
Depending on your graphic card, you might be able to use the built-in recording by doing Windows Key + G.
You can upload your MP4 file straight unto a free account on vidyard or other services like google drive.
​Mac
You can use the quicktime player.
​​https://support.apple.com/en-ca/HT208721​​​​​​
You can upload your MP4 file straight unto a free account on vidyard or other services like google drive.