Analys? pelase :)
I am not a strong player, but here are my thoughts on the position.
It looks like you have a winning position. You are behind in material, however, the pawn promotion threat looks unstoppable. You will likely need to sacrifice your rook to promote one of your pawns to a queen.
Repeated checks by White is fine. This approach would allow you to march your king up the board to assist with the pawn promotion. White's checks can be blocked with your rook too.
Both b2 and c2 are threats White must continually defend against. So White cannot move either of his rooks off the 1st rank. The fact your rook nicely controls the d-file prevents White's king from moving over to help his rooks defend against the pawn promotion threat.
As White I would likely play 1. Rhc1... in this position (assuming I had not already resigned). Black's appropriate response is 1. ...c2. Interestingly 1. ...b2 is a big mistake as White can respond with 2. Rxc3+... followed by 3. Rxa2.....
Checkmating Black is not a quick exercise after promoting one of your pawns. You would likely have a lone queen versus Black's rook.