In general, cheap doesn’t go hand in hand with good in the hobby.
There are black box lights you can find from amazon to eBay that are strong enough to keep anything photosynthetic under them for around 100 bucks. They cover 2ft of tank. So you’d need 2 if you want corals.
People rave over jeabo pumps. Never owned any myself.
Skimmers will work as well as you pay for. Reef octopus are some of the best bang for your buck imo