You do what you practice, mentally and physically.
Being a rigger, I have abundant opportunities to practice my EPs (gotta disconnect the main and open the reserve to do the work, so....). My mental practice and physical rehearsal is, and has been since I moved away from student gear, one hand per handle, grab both; peel and punch cutaway, peel and punch reserve, with a 4-beat rhythmic cadence. The reality when opening rigs to pack them, is peel and punch cutaway, peel and punch reserve, *usually* bringing my right hand over for an assist with the ripcord. So... I get a hand on each handle before I begin pulling either of them.
For me, the most important thing is being mentally present EVERY TIME I either rehearse EPs or pull handles on the ground, so I'm both building muscle memory and paying attention to what the handles feel like, and the various ways the process can vary. For instance, some jumpers' gear has ultra-mated velcro on the handles, so peeling a handle is not always the same. Most of all, because I've been jumping a soft reserve handle, and rehearsing to use it, for almost 20 years (!!. Omg, I'm an old-timer, lol), I am surprised by the feel of a metal handle when I pull one. My hand used to sometimes slip off metal handles, because I'm not in the habit of hooking a thumb, but lately I've begun to react quickly when I feel a metal ripcord, and get a thumb around it.
I got off on a little tangent there.... Apologies to those who rolled their eyes, lol. But.... visualize and practice your EPs. Rehearse for all the scenarios you can think of, putting your mind into it -- total mal; spinner; horseshoe; lost handle. Do it a LOT. And when you drop off your gear off for a repack, pull your handles like your life depends on it! Because at some point, it will.