Having trouble escaping quotes and braces

Try the basic one to post something.

curl -X POST --data '{"username":"username", "password":"password"}' --header "Content-Type:application/json" http://127.0.0.1:8000/your_url/

You can use curl -g to turn off globbing:

curl -g -X POST -d '{ "method" : "account_info", "params" : [ { "account" : "rHb9CJAWyB4rj91VRWn96DkukG4bwdtyTh"} ] }' http://s1.ripple.com:51234

Easier than escaping all those brackets.

Do not use single quotes. Escape any double quotes within the string with a \.

curl -X POST -d "{ \"method\" : \"account_info\", \"params\" : [ { \"account\" : \"rHb9CJAWyB4rj91VRWn96DkukG4bwdtyTh\"} ] }" http://s1.ripple.com:51234

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Window's command.exe doesn't seem to support single quotes. PowerShell does, but there are still some problems when using them, so the best solution is to not use them at all.