Hi Johnny! Thank you for bringing your question to the Disney Parks Moms Panel.
You may absolutely take a taxi from
Epcot to any of the
hotels in the Disney Springs Area, and during busy times like New Year's Eve, that is a smart thing to do! Look for signs directing you to the taxi pick up area as you exit Epcot. It may be necessary to call yourself a cab; taxis will not necessarily be waiting. I personally prefer using a ride-share service such as Uber or Lyft, as I can see upfront in either app how much the ride will cost and how long it will take for my ride to arrive. Ride-share options are very popular in the Orlando area and at Walt Disney World Resort, and I have found the services easy to use.
If you are staying at one of the Disney Springs Area hotels, you may also be able to use the shuttle that is offered; check with your hotel.
Another great transportation option is
Disney's Minnie Van service. Minnie Vans can be requested through the Lyft app, and are driven by professional and knowledgeable Disney Cast Members. Scroll through the vehicle options to find Minnie Van.
I hope that helps! Please let us know if you have any additional questions.
Happy New Year!
Anne Marie