The very first thing you need to do is determine which fluid your brakes use. There are basically two fluids, Mineral Oil and DOT 5.1. They require very different bleed procedures and DOT 5.1 in particular is very nasty corrosive stuff, for which you'll need isopropyl alcohol to clean everything and gloves on your hands.
Broadly speaking, SRAM brakes use DOT5.1 and Shimano use mineral oil, though there are exceptions! The best thing is to look at the brakes themselves, often the DOT fluid systems will have that marked on them, otherwise Google is your friend. Do not under any circumstances put the wrong fluid into your brake system!
For SRAM systems you'll need two syringes with DOT fluid, one attached to the caliper, one to the brake lever. You push fluid between the two until no more bubbles come out, then you lock the syringes and independently bleed the caliper and the lever reservoir. It is more detailed, but it's best you check out videos online.
Shimano I've never done, but I believe you just need a little bucket type affair to attach to the reservoir. DOT fluid is pretty hygroscopic, so SRAM brakes could do with a bleed every year to keep them tip top. Mineral oil is much better though and often will go many years before needing a bleed.