What's the difference between 'on to' and 'onto'?

[PurlyQueen]

Thanks!

Well I would say, I moved on to the next step.

But I put my bag onto the table. So maybe on to comes after a verb and onto comes after a noun?

You can use either in some situations, but not all - if the 'on' is part of an expression like 'moving on' you can't use onto -
"We're having a few drinks at home & then moving onto the pub" might mean your guests turn up carrying ladders....

There's no meaningful difference. Most newspaper style guides specify on to rather than onto.