Do you have another team you can point to/work with who have already gone through this, or who are going through this at the same time?
Can you find one or two people that you can practise selling the benefits to first - and not hoodwinking them but actually getting them on board warts and all?
If you have the above, then a good day or two out the office at a neutral location can work wonders - get people talking and focus on the clear outcomes you need. You'll need to take people through Why, How and What, but don't let people waylay you in the 'Why' if you can help it - make sure you keep the 'Why' to the benefits, outcomes and opportunities.
The worst thing you an do it let it turn into a moanfest/slanging match - try to plan to find ways to defuse this.
Of course, if you also don't believe in the pivot make sure you question those above you/peers - and see how you can improve the situation before you drop it on your team. If it is that bad, ask yourself why people should stay at the company, yourself included.