I converted to depriming off my main presses some years back and have never looked back.
Yes, more time and effort, but I like the results. My single stage press, progressive presses, floor, and bench stays clean. This especially is nice with a progressive press with all the moving parts. Less cleaning and jamming.
I actually do it off my reloading press on a different table. Depriming press is mounted to a board which I either c-clamp down to the table, or I weigh it down with a box of 500 230 grain 45 acp bullets. This way I can also deprime cases out on my patio, in the garage, anywhere I want. If I do it in the house, I first lay down a garbage bag on the floor to keep the floor clean.
I started with the $50 lee press. It works, but it's cheap feeling for sure. I recently upgraded to a new depriming press and spent $100 and enjoy using it more.
One other thing to consider, if you depriming off your regular press, then this might be a good time to look into wet stainless tumbling. I deprime everything dirty, then stainless tumble. When the brass comes to my reloading bench and presses, it's perfectly clean, even the primer pockets.
Good luck.