If you are using macOS 10.14.6+, you can accelerate applications with the external GPU (if they support GPU acceleration)...
Select the app in Finder
Get Info
Check Prefer External GPU
Adobe Premiere and Apple Final Cut Pro automatically use the eGPU when appropriate. Do not select Prefer External GPU for these applications.
Some professional applications let you select the external GPU (or multiple GPUs) in their preferences.
Connect one 4k monitor to the DP port.
Connect one 4k monitor to HDMI port.
Connect two 4k monitors a Sonnet Thunderbolt 3 to Dual DP or Dual HDMI adapter connected to the Thunderbolt 3 port.
macOS does not support disconnecting or powering off an eGPU during sleep. If you do so, your Mac will kernel panic. This is an issue that persists through at least macOS 11.2.3. Sonnet has reported the issue to Apple.
macOS 14 (Sonoma) and macOS 15 (Sequoia) will crash when an eGPU is hot disconnected. It will work fine if you connect or disconnect when the computer is shut down. Sonnet has filed a bug report with Apple.