Welcome. I did the same swap back in 2011! My Cooper was the original R50 model from 2004, with the 1.6 Chrysler built engine, and I was surprised at how close the 85bhp 500 came in terms of performance, at least subjectively.
You will find plenty of info and advice on this forum. The main thing with the twinair engine is to ensure that it has an oil and filter change at least every 10,000 miles, using the oil specification in the handbook.
I kept my 500 for 6 years and there was never a hint of trouble from the engine in 45,000 miles. Enjoy!