I'd suggest keeping the lights off for now, or you'll just fight algae
Also, keep your pumps and powerheads off until the sand settles, to avoid unnecessary wear

If you want to add critters right away, I wouldn't transfer the old sand, unless you wash it 'very well', but the amount in a 10g is not worth saving, IMO
If you transfer the sand, even though you want the life, you may have an issue or 2

But, with that in mind, if you don't plan on adding any 'critters' for a bit, until after your new tank cycles, go ahead and transfer the sand and LR now
Then go through the regular cycle testing;
NH3, NO2, NO3

The live rock is in the tank with the fish we have, can I have the fish in the tank without live rock and transfer it all over then the fish when the tank cycles?

Oh no worries :D I do miss use sentences sometimes :redface: