What you have are Acer palmatum all have palmate leaves.
They are are very hard to id accurately.
Even the experts have problems.
There are over 1,000 named cultivars.
It could be that they are seed grown and not a grafted clone of a named cultivar.
At the end of the day does the name really matter?
Just enjoy owning them.
I love them and grew 100.'s of different named Acer palmatums...but to id them accurately from pics is almost impossible.
Yes you can move them.
Wait until the leaves have all fallen off.
Dig up with a huge circle of soil still attached to the roots and pop into a slightly bigger hole.
Water well to settle it in.
Do not plant it deeper than present soil level.
They prefer shelter from cold winds and are happiest in partial shade.
