I see, that I can send btc to my own adress in the same wallet, but it still asks about higher fee, how large amount I must send to consolidate things?
It will always ask about the high fee until you send. In order to consolidate, you must send, and thus you must pay the fee.
And that means when I send from my wallet to my wallet some amount it will consolidate unspent outputs? It will fix everything, or I am missunderstanding it?