For those starting out on a budget, a paddle strop is a great choice for a straight razor. They also work incredibly well for stropping knives and axes. The robust bridle leather will work for decades, and the rough suede is great for mounting a stropping compound onto, like chromium oxide.
A strop is a must for your blade. By stropping properly on a regular basis, you can avoid sharpening your razor as often and help it last longer. Sorta like brushing your teeth often to help you avoid the dentist.