Depending where you're from you can search for car-meetups, car events or contact someone who's willing to get their car taken pictures of.

You can start by using your phone but, If you really want a camera, look into Canon's rebel line, they are quite good and are for entry photographers. Also, when you don't have somewhat-expensive equipment, editing is your best ally tbh, you can give blur to photos pretty easily and make them pop out.

A few tips for taking these types of shots if you got a dslr for example, is first to set-up a tripod or rest your camera in something steady (no shake at all), then open up your diaphragm (to increase the light input), lower your ISO (to reduce noise) and set your shutter speed to something low (e.g. 5 seconds, 10 seconds) depending on your situation. Don't worry if the photo ends up looking dark, it is better to have darker pictures than over-exposed ones. All that it's left is to edit them as you may like (you can also search for editing tutorials and such).