I need to start improving my forces both east and west, but I only start with 114 Money, 147 Labor, 74 Iron, 82 Horses and 52 Guns. (Next turn, I might get 60 and 50 Weapons/Guns from my blockade-runners, which will be VERY helpful.)
So, first things first: Fort Pillow only has Rifle Pits, so I buy it a second attribute, a Bombproof (which negates the effects of critical hits, such as those from siege artillery and gunboats). This costs 20 Money and 10 Iron, but if it helps the fort stand a few more turns, my garrison there will kill a lot more Yankees. I also send one of the two garrison units in Little Rock to Fort Pillow, hoping it gets there without being intercepted. (If it is, I've lost a mediocre unit; if it's not, the fort's garrison has just gone up 33%.) At this point, my two forts there, Fort Pillow and Island No. 10, both have 10-inch Rodmans, Rifle Pits (+50% damage from defending units), a Bombproof or Breastworks, and garrisons of 10,000 and 12,000, respectively. Plus, Memphis itself has a few thousand men, so even if both forts fall it will take several more rounds to take the city. (Remember how long Wheeling took to fall?)
I also purchase a Bombproof for Fort Donelson. This fort still doesn't have a good artillerypiece, but I can't afford one. Next turn, though, if those runners come away with 110 Weapons, I'll be able to afford it -- I just have to hope the fort isn't attacked this next turn. But if it is attacked, it has a very large garrison, and I make it bigger by 3,000 more men by moving the garrison from the fort in adjacent Murfreesboro into Fort Donelson. Plus, to keep Nashville from falling -- or falling quickly -- I take a mediocre infantry brigade that I had stashed in Knoxville earlier and send it to Nashville to join the garrison there. (Well, I would have put it in the fort itself, but the fort is now at capacity.)
As for my mobile forces there, I send the 16th division back to Cumberland River from Bowling Green (which, at least, has become CSA territory for the time being, depriving the Union of a modest amount of income. I also send my Partisans to the Lower Tennessee River to prey on the Union army there. (At the end of the turn I tell them to steal weapons -- I need all the Guns resources I can get, and the 23 Guns I would get if they succeed can equip another brigade of mine with Minie rifles.
I don't have much in the way of resources, but one thing I can afford is the Brigade Cavalry attribute for one of my infantry brigades in the Cumberland River province, as you can see below.

Michael Jordan plays ball. Charles Manson kills people. I torment eager potential customers by not sharing screenshots of "Brother Against Brother." Everyone has a talent.