Can all the components plug in to 1 output( 6V DC)? Will the current drop? What is the best way to distribute in order to maintain no current drop.
If the loads aren't fused, they should be. The easiest and cleanest way to connect this many loads to one voltage supply is to use a fuse block. The link below shows one variety. I don't know if you can find a fuse block that holds 20 fuses but you could use two fuse blocks with 10 fuses. I've done this many times. It's much neater and easier to work with than a bunch of wires going to one connection.
This depends on the current demand of your components and the capacity of your power supply. If each of your components draws 1 Amp and the supply is only rated for 10 Amps, something is likely to heat up in the power supply.