Ok...first off I have to say WOW HTH thats a heck of alot of lilies--my backs hurting just looking at all those pots...
all but one of my bds are DIY--Here is a few pics of my goldfish ponds to give you the idea of how it works--You don't connect the bd directly to the pump or you'll burn up your pump from all the crud--it sits in the back of your machanical filter--this pond is using a submergible pump and it all is gravity fed so you have to make sure your filter top is the same level as your water line or it won't work....also remember NOT to glue the pvc pipes that are inside the pond--you will need to disconnect the bd in case it stops up---but, DO glue any pipes past the pond wall--don't want any leaks outside the pond....
Step 1- My goldfish diy is made from a bowl....if you use bowls you need to attach 4 3/4" pieces of pvc to the lip of the bowl so that the bowl sits off of the bottom of the pond--
attach the bowl to 3" pvc pipe so that it sits on the bottom of the pond--best if you know where the mulm accumates the most.....
the pvc goes thru the side of the pond liner--if you use a deeper machanical filter then I'd put the liner deeper down so you have less chance of breaking during bad weather-just make your hole 1 1/2 round-then add a bit of silacone around the end of the pvc pipe and stick it thru the hole--put a metal hose clamp on the liner thats around the pvc pipe and screw it down tight-then put an extra piece of liner over the clamp so your fish don't hurt themselves on the metal...
then connnect the pvc to the front of your fliter box-this is just a half barrel but, my 2,000 gallon pond uses a commercial sink which works great for that size- I used bulkhead fittings to connect the filter box with the pvc pipe-
put your brushes and mats in the machanical filter and your pump goes in behind the flter material--if your useing a external pump then it would just go behind the machanical filter....