A good case with slightly raised guards on all sides like the Zizo Bolt or the display will likely get broke.
Easy to apply hygrocell screens like the Gorilla IQ Sheild work well, are inexpensive and last 6+months.
Also, be careful using the glass protectors (non hydrogel), because they can interfere with the fingerprint reader. I had a bad experience with this, and now I'm using only hydrogel that works fine.
Hidrogel protectors are a very good option, they are cheap, no need to buy from expensive brands, because they are very cheap, you can buy several, and replace them as often as you desire, they are really easy to aply, and no bubbles after some hours after the colocation in case some remain at the moment of placement, I bought 6 of them for 3 dollars in aliexpress