Get your taxes done using TurboTax

Yes absolutely.  You can do that from the TurboTax website: https://turbotax.intuit.com/irs-tax-extensions/

Sounds like you're busy!  Having said that, it's best to file now using what you know as long as you don't have to pay a much or hopefully get a refund, then you can re-file a corrected return later this year when you have more time to do your taxes.