How can I continue my flying career in the USA?
There are a few things you will need to do to convert it over. You can find a lot of the information on the FAA's website here. This is pertaining to FAA FAR 61.75 


Get your foreign license verified by the FAA. This takes 45-90 days and you cant make any moves until this is complete. 
Find a local flight school. Once your license has been verified you can start your US training. Assuming you are not a resident you are going to need to get TSA approval to train.
Once you are TSA approved to train you can start to train here. While your hours will count from your previous experience you will still need to pass the FAA written exams and practical exams. As such you will need to learn a bit about general operations here specifically in the US. 
Once you have done your training and are prepared to pass the tests and check rides you can schedule them. Your instructor will help you with this. 


You will still need to progress through the US certifications PPL->Instrument Rating->CPL and complete all required flight time and tasks to do so. There is no minimum time between check rides so if you have completed all the exams and tasks you can do them all one after another.