If you have a shattered screen, 2 words - WEAR GLOVES. And I mean decent gloves. I bought a pair that have nicely padded fingers to keep shards from tearing up my hands.
Also, the way I found to clean the LCD prior to reassembly, I used compressed air to clean off the big chunks. VERY CAREFULLY using light adhesive tape to pick up any left over small glass shards. Then I used distilled water and a microfiber cloth to clean the LCD. Except a scratch that occurred during the smashing of the digitizer, it cleaned up very nicely. Did 3 passes, prior to gluing the digitizer back.
ALSO, I found the magnets inside were coming loose. Glass shards also in the adhesive behind them. Clean them up, and I used the handle part of a cut off q-tip to apply some Gorilla super glue to permanently affix to where it belongs.