Buy a second hand laptop or tablet or phone with CASH and without using your name or a vehicle. Ride public transport, wear a mask, or ride a bicycle (again wearing a mask). This all is NOT a guarantee of anonymity, but it will help. They (TPTB) have ways of identifying you by your gait, stature, and other things, but generally speaking a mask will help a lot.
Immediately after receiving the item, place it in a Faraday bag. Never take it out of the Faraday bag anywhere near any networks you frequent.
When using that device to publish things on the internet, use it on publicly accessible networks and never repeat the same network twice in a row. If you're a big enough criminal, they will see the MAC address of the device when it connects to a network and they could dispatch people to catch you. For example, if using a Starbucks network, don't sit inside the Starbucks. Maybe be next door or outside but hidden.
Also, make sure there's no record of you going to the network location.
REMEMBER: Some eBikes have WiFi, BlueTooth and/or GPS built in to them. If you use an eBike (which I would recommend for their convenience and getaway potential), make sure it has no network or GPS connectivity.
Other than taking physical measures to ensure your anonymity, you have none.
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