I think there are a few things you can do to improve your successes with LPS.
For one thing, know your coral. Try to get a good idea what Genus you have, and then do some research. Knowing where a coral resided in the ocean will greatly help you keep it in your aquarium. Placement, water parameters, food, and lighting are all relative to where the corals are normally found in the ocean.
Some LPS are found in turbid lagoons with plenty of organics in the water. They would do fine in an Aquarium with no skimmer, while corals found in cleaner, clear waters would benefit from a protein skimmer.
Don't under estimate alleopathy. Many soft corals produce chemicals harmful to LPS and SPS. Some are more toxic than others. Sinulara flexibilis being one of the most toxic.(Which explains why one of my earlier reefs with a large Rasta leather could not keep most lps alive.)
All LPS eat something. They have tentacles for a reason. To Catch prey. The larger the tentacles and mouth, the larger the prey. While most LPS can survive in captivity feeding on photosynthesis alone, they don't thrive. Survival and thriving are two different things. A coral just surviving is more likely to come down with a disease or infection if something goes wrong. The Thriving coral has plenty of extra energy to help heal itself if something goes wrong.
Make sure your Alk and Calcium are maintained at proper levels.
Keep like corals together. Most LPS of the same species can be kept very closely, or even touching without a problem. There are a few exceptions, so if you plan on keeping them together, test it first. I keep 5 different Caulastrea in my home aquarium, with most of them very large colonies. The solid colored Caulastrea can touch each other, and the two toned Caulastrea touch each other, but if they get close to the solid colored ones, they send out nasty sweeper tentacles. I try to give them some space, but they grow quickly, and start to invade each others territory.
I like to keep Cynarina, Scolymias and Trachyphyllias together, and haven't had a problem yet. I keep most Euphyllia together, and all my Echinophyllia are in the same tank. Watch out for Favias and Galaxia. They can have serious sweeper tentacles. Try to keep them down stream from other corals.
The larger, puffy polyped LPS can usually be kept under lower lighting,(Euphyllia, Trachyphyllia, Cynarina, Scolymia, Fungia, Cycloseris, Plerogyra, Catalaphyllia, Alveopora and Blastomussa) while smaller polyped, massive LPS like higher lighting with more flow.(Favia, Favites, Platygyra, Goniastrea, Montastrea, Merulina, Hydnophora) Then there are a few that fall in between like Lobophyllia, Symphyllia, Acanthastrea, Caulastrea, and Turbinaria)
That's just a general list
Hope that gets you started.