My screen shakes when I try and move around on my realm. This problem does not happen on single player worlds only on my realm.

Does this seem the same as what is described in REALMS-4642?
If not, please provide a video that shows the issue.

It does not match that issue. My screen recording does not work so I cannot attach a video at this time, what happens is when I enter a block that isn't the one directly in front of me my character glitches and shakes rather than smoothly transitioning between the blocks.

Thank you for your report!
We're tracking this issue in MCPE-16688, so this ticket is being resolved and linked as a duplicate.

If you would like to add a vote and any extra information to the main ticket it would be appreciated.

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The issue has been marked as resolved but I am still experiencing the same problem.

"Resolved" as a duplicate does not mean "fixed". You can visit and watch the MCPE-16688 ticket for information.