Welcome to the forum!
Prepare to spend a lot of money…it starts cheap but I think we can all agree that we never know when to stop buying things lol
Starfish are incredibly difficult to keep alive even in very large tanks. The only 2 I can think of for a small tank like 10-20 are brittle/serpent stars and asterinas (which are a hitchhiker and not commonly bought).
For stocking, nice and simple is best. Clownfish (though those really should be in 30+ as they can get big and mean), royal gramma (the purple and yellow one from Nemo), shrimpgoby + pistol shrimp, firefish, and neon goby all are very easy fish. Everything but the clowns are super peaceful.
In a 10, I’d do 2 fish max, in a 20 you can do 3-4 based on species.
Easy beginner corals (wait a bit before adding) are Xenia/green star polyp/clove polyps (all spread fast but look great), leathers (one per small tank - they get big), zoanthids (very pretty but wild types are toxic - not a huge concern as long as they stay in the water and you don’t do anything stupid), and mushroom corals.
Look into all in one tanks early on. They make good starter tanks as they have all of the equipment you may need (though upgrading equipment doesn’t hurt). My first tank was the fluval 13.5, very good dimensions and reliable. This is mine a few months ago:
Skimmer isn’t necessary in a small tank imo, a powerhead depends on your filter/pump. Something strong won’t be a problem but a tank with a weaker filter will need a powerhead to provide the required flow to keep corals alive.
For food, a good quality pellet always works (though some fish have specialized diets), as well as frozen foods like mysis shrimp. Find out what your local fish store (or wherever you buy the fish) feeds their fish. I personally recommend quarantining new fish or buying fish that have been quarantined. Fish disease is a lot more common in saltwater than in freshwater - and it’s a really gutting feeling to have all your fish die of disease shortly after buying them.
Using RODI water is best, I just have RO water and it works fine. Others know all the water chemistry stuff better than I. What kind of conditioner do you use? The API stuff works but the seachem prime is better/more recommended.
Hope this helps. Good luck!