I switched to towels and fleece too a few weeks ago. I find it so much easy to clean!
The wee soaks through the fleece, which drys quickly, and soaks into the towels. I literally pick the whole lot up, brush the fleece down either outside or into the (now empty) cage and use a dustpan and brush to sweep up (I bought one especially for the piggies!). Then I spray it with pet cage disinfectant and wash down and put new towels and fleece in
Dirty blankets in the wash - Job done!
I have enough to put clean in the cage and wash seperately, but tbh, I've found that I pop the piggies in their indoor run (which has a big carpet doormat type things, layer of towels, then fleece with the run on top) stick the dirties in the washer and they are out and dry before I put the piggies backin their cage. Fleece drys so quickly! And the towels, I throw them in the tumble dryer, but wouldn't take too long to line dry I don't think.
I have a couple of 'cage' sets and a couple of 'run' sets, but only because the fleece I use for the run is bigger than those I use for the cage. I use the same towels for both.
I got beach towels and kids fleece blankets 1/2 price in Sainsburys (I think they were all £3.49 each), then the door mats (I think £2.39 each) and big pet fleece blankets (£4.99 each) were from Dunelm.