If you're keen on making TMs available on all your devices, I definitely recommend you try out Studio 2021, since it comes with SDL Trados Live Essential - a cloud companion of Studio, which allows you to store your TMs (and termbases and projects etc) in your own cloud space. SDL Trados Live is more than 'just' a cloud space like OneDrive or DropBox, since it offers all the Studio functionality, including TM and termbase maintenance in a browser, project creation, online editing... It makes you totally flexible since you will be able to access all your Studio assets and functionality from any device.

See www.sdltrados.com/.../.