If you'd like to explore Unicode characters, you can use the Unicode Character finder, a web app I built some years ago: https://www.mclean.net.nz/ucf/
The app allows you to paste in a character to find out more about it, or to search the database of character descriptions to find what you're after.
For exploration, additionally I'd recommend http://shapecatcher.com/ It allows you to draw the shape you are looking for, and with some form of ML, sorts by similarity. It has come in handy a few times for finding the characters I'm unable to describe.
The app allows you to paste in a character to find out more about it, or to search the database of character descriptions to find what you're after.
You can link to a specific character to share with your friends and family: https://www.mclean.net.nz/ucf/?c=U+130BA