I wouldn't DIY a wool rug cleaning. Too much water, harsh chemicals and heat are all bad for them. You risk harming the glue if it's tufted, causing the fibers to fall out prematurely. You risk drying out the fibers in the wool, which need their natural oils to not become brittle and break, and risk making the colors run in tufted and knotted rugs. Maybe you don't care so much about a tufted because it's a 10-year investment anyway, but if it's knotted you could be really shortening what should be many decades of life. I wouldn't dream of cleaning anything on top of newly refinished floors; I think wool retains a lot of water. If it's a tufted and you wanted to attempt DIY, I'd do it out on a deck or patio where it can dry completely.
The shop where we purchased ours recommends taking them in for cleaning every 5 years or so, or if there's an accident. Otherwise, they recommend avoiding deep cleaning by regular sweeping and/or vacuuming, without rotary brushes, which can damage the fibers, across the pile, not against or with it. We heard the same thing from all the dealers: take it to someone (doesn't matter if it's that particular shop) who knows what s/he's doing to handwash.
Then you must have tufted? Knotted don't shed b/c the fibers are tied down. The vacuuming advice was knot-specific.
ETA: If they're tufted, I'd be more worried about the wood floors than the rugs. I wouldn't want to ruin the rugs on purpose or anything, but they already have an abbreviated life span. I think I read somewhere that even professionals can have a difficult time with stained tufted rugs getting rid of stains without harming the glue. I wouldn't spend a fortune getting a tufted rug cleaned like I would my knotted ones (don't know how much it costs, my oldest one is about 3 or 4).