Just some tips when re-sawing using either:
For a bandsaw: make yourself an L shaped fence out of two pieces of 2 by lumber that you can clamp down at any angle to the blade. Most accessory fences either aren't tall enough, or don't allow setting the fence to an angle to the blade.
Then do a test run, resawing a piece of scrap wood to the thickness desired. Bandsaws blades almost always want to cut at a slight angle to exactly square to the table. Here's how to solve that problem. First scribe a line on the top of the scrap piece, then start re-sawing it freehand, keeping to the line. You will automatically correct to the right angle to stay on the line. Stop the saw when your piece is about a half a foot into the cut. Don't move the piece. Clamp your custom fence against the piece you are cutting at whatever angle it wanted to cut at. The fence will now have that angle and also will be spaced just the right thickness you want for your good stock. Then saw your actual lams out.
For a table saw:
Decide on the minimum width you need your lams to be and rip your stock to that width first. Then for re-sawing crank up your tablesaw blade to its max height above the table. Measure that. If you have a 10 inch tablesaw, maybe your blade sits 4 inches above the table. if so, and your stock is say 2 inches thick, consider buying a 7-1/4 circular saw hollow ground planer blade for this purpose. Or an 8" tablesaw blade of the same type. These blades will be much thinner and your saw will power through the resawing a lot easier with a smaller diameter saw. The hollow ground planer blade will leave a much thinner kerf, and a much smoother finish on your lams. You will also get a lot more lams out of a single piece of stock because of the narrow kerf.
Thickness sander: You can make up one of these with a little ingenuity, or various ideas out on the web. Mainly useful for if you're doing a lot of lamination and need a consistent thickness. Two wood and lam backed bows generally need only one clean side, But multilams need thickness control.
Hope that helps.