Good question! I’ve seen those things on social media too.
The problem with eclipses is that historically they have always been considered bad omens. Eclipses would signal all kinds of catastrophe and evil, so they are associated to very negative things.
The good thing is that a solar eclipse lasts for under 10 minutes, and a lunar eclipse maybe up to two hours. So in case of doubt it’s best to plan around it.
Ultimately, your Magic is personal to you. What matters most is what you believe and how you feel during that time.
What to do during an eclipse? Do a simple Journaling ritual or shadow work, and meditate during the eclipse. If you feel like doing so, maybe cast a circle or other protective work but if the timing doesn’t feel right in general, simply wait it out.
Regarding your spells backfiring, here’s my answer to that in a previous topic: Fear destroys power.