I use 3/8 and 1/2 the most. I like the 3/8 because i can skip it pretty good under docks. And our water is super clear on the east end of the lake that i fish the most.
However when my local water are stained or muddy. Id start with 1/2 oz. Murkey water and low visability im almost always going with a DARK jig. Blue/black, Okeechobee patterns, Black, black and red, a drak green pumkin and dark accents like blue or purple.
Same rules apply, match the forage. And use trailers that give off good action once the water warms up, because you want the fish to be able to track that vibration and water movement.
the west end of my local lake has water and AlOT of wood cover like you discribed, i tend to get well down there by swimming a jig or using a chatterbait.