I would approach with caution, most smart plugs are not meant for high amp circuits.
If you absolutely must, buy only from a reputable brand from an authorized dealer. I.E Schneider from Digikey or Mouser.
Do not buy from Amazon, even if it from the manufacturers store. Amazon, especially the market place, is full of fake items that are near impossible to identify until after they set your house on fire (yes, it does happen). Fake items get returned and mixed in with genuine items frequently.
The internet is full of bad advice, and none more than for electrical equipment. The advice is often surrounded by phrases like "I have been doing this for years and never had a problem." Random Chinese stuff needs to be de-rated by about 80% (yes, they are that bad), so a 20amp random Chinese outlet is really a 4amp outlet. Your outlet should exceed the fuse rating on the amp by more than 20%, so a 4amp fuse requires a 4.8amp outlet (preferably much more). Use a reputable North American or European brand that is UL listed from an authorized dealer. Also, be wary of IoT devices in general, there was a recent report of wifi enabled vacuum cleaners purchased on Amazon that were sending telemetry back to Chinese servers.
Two good suggestions so far are to use a remote controlled button pusher or an extra device with a signal wire. This could also be easily done with a Raspberry Pi with all the goodness of a smart device and none of the worry of your bedroom activity being sent to a server overseas.
Another good suggestion is a remote controlled outlet, these use either a relay or or a solid state relay. They plug into your standard outlet, but are designed for high amperage. Schneider makes one that is WiFi capable, there are also remote controlled devices used for fans and dust collectors.
Lastly, you could use a solid state timer. I use one to turn on my espresso maker, and love it.
Personally, I would not put a wifi enabled plug on my main system, but would seriously consider it on the system in my shop or basement.