Instead of arguing lipo vs lifepo4, lets try to actually answer his question.
8 hours of use? Ok, what we need to know, or you need to find out to get your answer, is how much power you use now. The size of your lead doesn't mean a thing. We need to find out how many watt hours you use in that 8 hour day.
You have to get a watt meter to find this out. Then run a few days and see what you typically use. Then choose a lithium pack that will be about 20% bigger than you show your typical use is. That way, as it ages and loses some capacity, you are ok for a long time.
For professional use, I'd want a cycleanalyst on the vehicle, http://www.ebikes.ca/shop/ebike-parts/cycle-analysts/ca-sa.html
But you could get the same info with a much cheaper e bay watt meter. http://www.ebay.com/itm/Digital-60V-100A-Battery-Power-Analyzer-Watt-Meter-Balancer-For-DC-RC-Helicopter-/190863796444?hash=item2c705e68dc:g:x8gAAOxyaqlSTnip
Either one will work fine, but the cheap one would be hard to mount on the handlebars. For what you need to now today, the 12 buck watt meter located in the battery box will do.
Now for the guessing part.
You have now been using 24v 100 amp hour lead. This theoretically has 2400 watt hours in it. When people replace small lead batteries with lithium, they usually double their range, because 10 ah lead sags too much, and will not dish out 10 ah. But your large battery would not sag so much. My best guess is that you still need at least 2000 watt hours, which would be 24v 80 ah. This does not have to be a single 80 ah pack, it could be multiple 20 ah packs, or a pair of 40 ah. If you return to base several times a day, you could have two packs, one in use, one on the charger. Or three, two on the bike, one on the charger. Three 48v 20 ah packs could work real well for you if you can return to base twice a day. At all times you'd have 24v 40 ah on board.
Three 24v 20 ah batteries would also allow you to try three different types of lithium. You could then decide which lasts best, and continue to use more of whatever type or vendor worked the best, or more cost effective for you.