Forget about small and short, go big or go home. LOL

As mentioned above a 5/8 will do a great job as a starter razor. Most razors are pretty much all the same length give or take a bit. That size was developed after a century or more of experimentation and pretty much just evolved to what the razors are today.

The blade widths are a personal preference, some guys like a narrow blade, whilst other prefer a wide blade. Once you get the basics down, you can experiment and see what you like.