Your total history cannot be moved to the ONLINE version however you can transfer the 2018 tax file to the online version however that can only be done from the laptop you used unless you can move the .tax2018 file to the tablet.
2018 Downloaded to 2019 Online
Last year's tax data file (.tax files) can be transferred to Online Deluxe and higher-tier versions.
- Sign in to TurboTax Online, if you haven't already done so.
- Select Tools on the menu bar lower left on the screen.
- In the pop-up window, select Transfer last year's TurboTax return from your computer.
- Read the warning and then click Continue (or Cancel to abort the transfer).
- Browseto where you saved your .tax2017 file and select it.
- ClickTransfer Return and wait for your file to finish uploading.
- When you see Transfer Complete, click Continue to start working on your return.
https://ttlc.intuit.com/questions/1900883-transfer-last-year-s-return-into-turbotax-online
