Hola Rod

We normally use the definite article (el, la, los, las) instead of using the possessive when it's clear that it is part of our own body (as it is obvious, so we don't need to specify with my, your, her...) In this example we are using "mis" though. This is not incorrect; this would be a way of emphasising that it is "my" hands. But, as this has come up before, we'll change it to the more natural way of saying it, using "las".

Gracias y saludos

Inma