I have too little funds in MyMonero. Is there a way I can sweep those funds into another wallet?
I'm guessing I tried doing this once before, but it didn't like me sending all because it wanted some for fees. I'm really not sure.
You cannot transfer to another wallet with different address without a transfer fee. However, if you want to use a CLI or GUI wallet you can do so.
If using a GUI follow this guide:
How do I use my MyMonero wallet via the Monero Core GUI?
or using a CLI:
If I saved my view key and spend key can I recover my wallet if my mnemonic seed is lost?
FYI. Transfer fee has decreased since the last hard forked in April 15.