When I am moving coins to a wallet for staking, is there any benefit staking-wise to sending them in smaller transactions, or in one large transaction or does it make no difference at all as far as staking goes...?
Yes, it does makes a difference.
It dependents on which PoS coin you are using, Some like sprouts require in the millions per block to stake within the normal time frame,
others like HBN have a Maximum stake limit per block so you never want more than 5000 or 6000 per block.
Ask the specific coin community to get a specific answer.