Do you have lists of agents and/or publishers that deal mainly with rhyming picture books? Its a jungle out there!Danica Surette
Yes, we all find it confusing and publishers' specifications change. In the UK it helps to look through the Children's Writers' & Artists' Yearbook (current edition is 2013, and new editions are published every summer). You'll then need to check submission guidelines online (sometimes they'll say 'no rhyming texts', but times have changed). Also look in bookshops and libraries for rhyming texts and note down the publishers. Good luck, Paeony.
I *think* rhyme preference depends on the publisher, but also on the age of the child. For young kids, the whole idea is to keep the child wondering what imaginative thing comes next. If rhyme is done cleverly, it can help with that. If it's done artificially, it may not interest a kid. I struggle with this myself a bit.