The problem I see with the animation you have thus far is that it doesn't have any rhythm or weight.
Start off with the steps where the front foot is just barely contacting the ground, and then the
passing position, where the legs pass each other. This will give you a framework for the rhythm, so you can then add in the motion between those two extremes. It makes it much easier to place the limbs when you can see exactly where they came from and exactly where they're going.
With regards to the weight, I imagine a mummy moving very slowly and clumsily, with heavy steps; lifting itself up slowly and falling fast.
Here's my take on how the mummy would move:
Notice how much longer it takes to lift itself up than to fall.
I added a zombie-like limp, so it loops with only one step, but a walk like this could be easily adapted to one with even paces.
To make the body feel stiff, I made the head and arms move in synch with the torso, rather than lag behind, but you may want to lag the motion of the loose bandages by a few frames so they feel nice and floppy as they move.
I hope this helps.
Regards.
