You can substitute any action for washing hands (i.e combing hair, brushing hair, etc.)...

Notes

Below are some versions I came up with for this rhyme to make it more modern. I hope you enjoy them! –Mama Lisa

Wash hands, wash,
Daddy shouted Wow!
If you want your hands washed,
Have them washed now.

*****

Wash hands, wash,
The cat said meow,
If you want your hands washed,
Have them washed now.

*****

Wash hands, wash,
The dog went bow-wow,
If you want your hands washed,
Have them washed now.

*****

Thanks and Acknowledgements

This rhyme can be found in Cole's Funny Picture Book No. 1, written and compiled by Edward William Cole (1st Published in 1879 in Melbourne, Australia).