It depends on a number of factors which are very difficult to quantify in a post like this. Stock fit is very important, but given good stock fit, overall gun weight is the critical statistic. If all three are chambered in a 10-pound rifle, the .470 will be usefull but the others will kick you into next week. At 11-pounds, the .470 will be a pussy, the .500 manageable (just), and the .577 still a brute. Add another few pounds for a sweet-shooting .577.
So... How much weight do you want to carry around the paddock all day?

In an 11-pound gun, the .470 will generate a bit over 70 ft-lbs of recoil energy, the .500 perhaps 85 ft-lbs or a bit more, depending on the load, whereas the .577 churns up way over 100 ft-lbs, maybe 130 ft-lbs or so, in that gun-weight.

Just remembered: here's an idea I tossed up a year or so back: long-time posters will be reaching for the sick-bag, its just my opinion!

Suggested DR Chambering