I have one box of organic kiwi wood stuffed in a USPS medium flat rate box that weighs approximately 2.5 lbs. $60 (price includes shipping,) PM me if you're interested with your email address for a PayPal invoice.
I've heard of various responses. Some say 30 days, others don't really count the days. If you were to do it now, I would just make sure the baby is out of the way in the case the container gets knocked around.
Just give them time to settle in. Playtime shouldn't be a problem as long as you're not still actively moving things around. As for a cat tower, I think its hit and miss with people. You're better off making something out of wood or cardboard boxes. Its probably cheaper too.
I'd check out a local feed/farm supply and see if they carry cage building materials. That seems more suitable than building material from Home Depot, etc. that could be treated with chemicals.
Some of them tend to change a lot over time, it just depends. In terms of ebonies, you can usually get a feel for what they'll look like. If anything, they darken almost slightly to me. They can also just even out if that makes any sense.
I've heard of people using Martin's cages, but in terms of wheels, look at the flying saucer and chin spin wheels. Those are probably the best. Also check out Quality Cage's website. Their set ups are awesome!
At least it wasn't too much. Whenever I get a wood order, I make sure to put them in paper bags or keep them in open cardboard boxes. You never know when you'll have residual moisture so its better to be safe than sorry.