Frog and hammer can touch without a problem: makes placement easier.
You're arriving in the area of must-do-tests: alkalinity and calcium must be handled with additives, and I recommend testing daily until you've got a clear picture of what your particular tank does: no two are alike. My 52g, as an example, once it settled out of its initial wildness, evaporates a steady 1 gallon a day, wants 2 tsp of buffer a day [I add that to the topoff water for the 5 day period it lasts] and takes 2 tsp of calcium a day: I hand-add. This keeps it at 420 ca, 9 alk, 8.3 ph, 80 temp, 1.025 salinity, and everything stays happy. If you stay in those parameters you'll have no trouble with lps.
Check them after dark with a flashlight: things like candycane [another easy one] open up with tentacles. Brain, likewise. Stay away from plate for a while: it's touchy. Avoid the elegance: prone to a disease I wouldn't want in my tank. Torch is 'hot' and should not touch anything else, but has a short reach. Galaxia is fun, but has foot long sweepers and has to be put near a corner where current will carry its sweepers away from its neighbors. Hammer and frog come in many color and shape variants, and can get huge. Bubble coral likes lower light, and has 6 inch sweepers, but is a hardly, fastgrowing coral. it comes in pearl and plain and several colors. Fox is touchier: wait for stability before you risk that one. There are also the brains of various types: scolymia, etc---a little touchier. And the pagodas and turbinarias I believe also come under lps: avoid them until your tank ages a bit, watch your alkalinity like a hawk, and then be careful in placement so detritus doesn't settle and stay in the cup.