This is a tense, double-edged position where both kings are exposed and tactics are flying in all directions. You're up a pawn in material, but the position is far from simple — your ♙b2 is hanging, your king lacks a pawn shield, and Black's passed ♟f6 and active queen give your opponent real counterplay. The key question is whether you can convert your material edge, and the honest answer is: probably not with perfect defense from Black.
The best try is ♖d5+, which scores +0.7 and is your most aggressive option. The idea is to force Black's king out with check, then push your passed ♙c2 forward. The critical line runs [You: ♖d5+] [Opp: ♚xd5] [You: c4+] [Opp: ♛xc4] [You: ♗b3] [Opp: ♛xb3] [You: axb3] [Opp: ♚e6] — you peel off the bishops and rooks in a forcing sequence that clears the board. The problem is that this leads to a tablebase draw with perfect play from Black, so despite being up a pawn at the start, you can't force a win. That said, ♖d5+ is still your best practical shot, as it creates the most complications and gives you the best chance if your opponent slips.
The other two options — ♔c1 and ♖c8+ — both evaluate at +0.0 and lead to positions where Black's queen runs rampant grabbing your a2 and b2 pawns. In the ♔c1 line, Black plays ♛a5-a4 and then ♛xa2, neutralizing your material advantage entirely. ♖c8+ similarly gives check but allows Black to maneuver the king to safety and again go queen-hunting on the queenside. These moves aren't blunders, but they're passive — they let Black equalize more cleanly.
In short, ♖d5+ is your sharpest attempt to put Black under maximum pressure. Even though the tablebase says it draws with perfect defense, it's the move that gives your opponent the most chances to go wrong. The position is genuinely balanced despite your extra pawn — Black's mobile queen and exposed board make full conversion unrealistic against accurate play.
Your king is in check from the ♖ on d5, so you must deal with it immediately — and crucially, you have an excellent way to do so. Taking the rook with ♚xd5 is the best move. It eliminates the check, wins the rook, and leaves you close to equal despite being down a point of material going into this moment. Your king has very limited mobility right now (only 5 legal moves), so grabbing material and simplifying is exactly the right approach.
After ♚xd5, the best continuation runs: [Opp: c4+] [You: ♛xc4] [Opp: ♗b3] [You: ♛xb3] [Opp: axb3] [You: ♚e6] [Opp: ♔e3]. Your opponent tries to use the passed c-pawn aggressively, but you neutralize it by trading queens. The resulting endgame is a tablebase draw with perfect play. Given that you were already down a point of material, holding a draw here is a genuine success — you defended accurately under pressure.
The two other options are much worse. ♚b6 allows ♖xb5+, and the follow-up sequence leaves your king badly exposed and wandering into a near-losing position at -10.4 pawns. ♚c6 is even more catastrophic — it leads to a forced checkmate in 22 moves, largely because your opponent's passed h-pawn cannot be stopped after the rooks come off the board.
The key lesson here is about passed pawns and piece coordination. Your opponent's passed pawns on c2 and h5 — combined with an exposed king on both sides — create real dangers. Your own passed pawn on f6 and the undefended ♙ on b2 offer some counterplay, but the most important task right now is king safety. Capturing the rook with ♚xd5 addresses the check, wins material, and steers into a drawable endgame — that's the best practical outcome available.