Depends on how much you would be removing, but if it's more than 4 inches I might say take it to a pro as well- thin shiny fabrics like that show up errors like giant neon signs. That said, I'd do it myself by hand.
STANDARD HEMMING PROCEEDURE:
Get perfectly matched thread a small very sharp needle. Practice doing a hem stitch on some scrap fabric untill you are happy. (You'll have to google it for a picture but it isn't hard. There are several varieties of hem stitches, just find the right one for you).
Have someone else mark the hem length for you- don't just guess off your body or try wearing it & bending over repeatedly to mark in the mirror. They don't have to sew, just be able to not stab you. Just mark it once in front & back.
Take off the dress. Use a ruler & see if your front & back lengths are the same (HA! they will not be) use whichever length will be longer
on you, use the ruler to mark all the way around the dress. PRESS THOROUGHLY. Seriously, pressing before stitching makes a world of difference in your hem.** (see below)
If you are folding up the hem more than 1 1/2", tuck the excess in or trim it off. If you trim, the raw edge needs to be pressed under & finished as well.
Stitch the hem. Take your time. Make your stitches as tiny as possible.
Yay! Beautiful hem!
SPECIFIC TO THIS DRESS:
Those tucks at the bottom are slighty problematic, but not too much
I'd turn the dress inside out after the hem length marking phase** and stitch the tucks up past their current stopping point. Measure how far above the current hem they go & run your tucks to the same distance past your new hem level. Continue hemming as described above.