Any of the fish except the angel can go in first. Pygmy angels should go in last when there is lots of algae on the rocks and glass. Put the fish in before the shrimp, except if you get a watchman goby, then add that and his partner shrimp at the same time.
The shrimp that live with watchman gobies are called pistol shrimp and can kill other fish so make sure the shrimp is well fed.
If you don't want the angel, you can get a pair of Amphiprion ocellaris or percula (anemonefish like Nemo). Other species of anemonefish get too big and aggressive when breeding and will bash everyone in the tank.
If you get anemonefish, either buy 2 fish that have bonded or get a small fish and a slightly bigger one. The bigger one will become female and the smaller one will be male. If you get 2 big fish they will both be females and fight.