Motherease waterproof wraps are one of the most well known makes on the market. I personally found them to be one of the most reliable in my collection 6-7 years ago.
The actual fabric used by Motherease is quite soft to the touch and the Rikki wrap has a substantial gusset around the thigh area to give brilliant protection from leaks whilst the velcro waist can be fastened to fit.
The Rikki comes in a range of sizes and print from tiny to potty training. You can sometimes get away with a nappy that is slightly too large but it's essential you choose the right size wrap to ensure complete protection.
Small (2.75-5.5kg/ 6-12lb),
Medium (4.5-9kg/ 10-20lb),
Large (9-16kg/ 20-35lb)
and XLarge (16-20kg/ 35-45lb).