If you get rechargable batteries you can make any radio rechargable.
Yes, there are.
You can find ratings for the best portable radios and the largest selection at bestbuy.com in the section Portable Radios and Pocket Radios, listen to your favorite stations.
The batteries in a portable radio can be recharged you must buy rechargable batteries and a rechargable plug that you can charge them with the are great to have and save lots of money.
Most people rate Sony portable radios with 4 to 4.5 stars. This concludes that Sony portable radios are well liked and preferred. You can read reviews of the portable radios on most sites where you can purchase one, including amazon.com.
Yes portable radios pick up the same stations as a regular radio there just portable instead of having to be plugged into a wall outlet.
Motorola offers some of the leading portable radios on the market today. Many of Motorola's portable radios are used by emergency personnel in the most extreme environments. High quality Motorola portable radios range in price from around $100 to more than $1300 for some of the highest quality portable radios.
Kenwood portable radios are radios which allow you to speak with people up to 5 miles away. They are very durable but can also be a little bit pricey.
Portable radios that are small in size and that offer both AM and FM radio which charge by usb are available. You can find them online by visiting http://www.alibaba.com/showroom/usb-charge-portable-speaker.html which offers some selection on these sorts of portable radios. Some retail stores could possibly also help you find the types of portable radios you are looking for.
From my experience, most portable radios take either quite a few AA's, or a few 9V's. Also you can get radios that need C and D batteries.
The transistor!
No there are no portable CD Players that are able to record onto any CD.
Almost all portable radios have a headphone jack. Even radios that are ten years old or more have a headphone jack so its pretty much standard.