For my outdoor trees, I unwrap (or mostly, I "unbury"), and then just leave them open and exposed. I wish to wait for last frost, but err on the "aggressive" side, because growing season is short up here in these latitudes. So as a compromise, I exhume (unbury) around mid-April (which is before the last frost), but then if the tips start to leaf out then I cover them with cloth on nights where frost is predicted. I never have to cover them with a sunshade cloth in this climate. The only reason I could see to do that would be if the direct sun is too intense by the time they are exhumed, and I were worried about sun-scalding the bark. Like I said though, up here the direct sun is not that intense in the springtime, so I never have had to worry about sunshading when they're first opened up for the spring. I prefer to have them break bud to as strong a sunlight as there is, since that'll make the leaves acclimate to strong sun as soon as they start.
Now when bringing out trees that were indoors through the winter/spring... that's another story. Some of those early leaves are just not robust enough to handle the direct sunlight for very long. So I position them to get direct sun only for a short duration, then gradually add more time in the direct sun.
Mike central NY state, zone 5