Keep in mind BG bigger than a 1/3 the length of the biggest LMB are safe from predation. BG 1/4 the length of LMB are prime forage size.
Absolute ideal timing is to have your FHM numbers becoming limited just as your BG begin spawning for the first time. Basically, you let the FHM spawn like crazy with no predators for some time to build their numbers up. One growing season is generally enough depending on how many FHM were initially stocked. Stocking FHM and GSH in the spring of the first year, then stocking initial LMB stockers which are usually 2"-4". They are the ideal size to prey on newly hatched FHM which there will be 1000's by late summer when you can stock the LMB.
This abundant easy food leads to excellent growth rates for your LMB. Expect many to be 6"-8" by late Spring the next year. By the fall, you should see your LMB pushing 10"-12" unless you're in very northern waters. By this time they will be getting close to removing all FHM and will begin preying on the GSH. Your original GSH will mostly be too large for the LMB to prey on, but those GSH born in the pond will be prime size.
Come the following spring, your LMB should be just mature enough to pull off a limited spawn. It is then you can stock advanced sized BG at 4"-6", preferably leaning more towards the 6" range. These BG will spawn that spring and will begin producing young and the future primary back bone of your food chain.
This stocking strategy works well for NORTHERN ponds where BG growth rates often outpace LMB growth if stocked together at similar sizes creating a too successful initial spawn by BG.
If not too far north then RES are an option, they can be stocked at any size, usually 2"-4" and stocked at the time the LMB are.
