I sent paper apps because I have a Mac and LSDAS wasn't ready with the Mac version. You need to order your reports from LSAC for the number of apps you are sending in. I ordered them when I first registered for the LSAT. It was $2 cheaper per report back then. As soon as the school receives your app and fee, they request a report. If your LOR's and transcripts are alreayd processed, LSAC/LSDAS turnaround time for reports right now is one day fromthe day they receive a request. Then they send the report to the school. Supposedly it can take about 8 days of they mail the report to the LS via snail mail, but in another post someone said that some schools request rush delivery.
So if you know u are applying to 10 schools, go and pay for the 10 reports now. Othersise, it will be a pain to go back every time to LSAC/LSADAS to order reports one at a time.