I've not used any Mayhems coolant but if it's premixed it should be pour and go. A litre does most loops. A recent loop of CPU, GPU, 100ml res (small), double rad (240) and triple rad (360) was exactly a litre....so should be plenty for you.
If you're going to do GPU too you'll probably need more than just a 240 rad. Rule of thumb is 120 per component and none for loop so that'd be a 360 at min. More if you want to overclock of not have fans like jet aircraft.
You want to leak test everything first with no power connected to motherboard or anything. You can fill loop and just power pump from PSU. To turn PSU on without motherboard connected you can either get plugs that you connect to the ATX cable or short out pins with a paperclip - it's the same thing just that the special plug means you cannot short out the wrong pins!
Put kitchen towel by each joint. It's good for soaking up any leaks but also it helps show up and small drips.
You say vinegar to drain. No, sometimes it can be useful to flush out the crud from a new rad but most can be flushed out with tap water and then rinsed with deionised water (DI). You can get this at the supermarket in 2.5l or 5l containers for car batteries or ironing ( don't get perfumed ironing water, just DI!)