GA pilot reported a hard bounced landing; went around and then was unable to clear the runway after the next landing due to damage to the nose gear.

Narrative

Daytime flight from ZZZ1 to ZZZ with clear skies. Received weather briefing and used flight following. On final approach experienced choppy windy conditions. Approached with a little extra speed to compensate for wind. Rounded out and flew with ground effect to burn off excess speed but probably did not slow down enough. Touched down a little hard on rear tires and bounced. Front landing gear hit hard on the bounce and I heard a crunching sound. Airplane was about to porpoise. To avoid another bounce I added throttle and took off. Called ATC to notify of a go-around. Flew the pattern and landed again; but this time it was very smooth. Held off the nose gear as long as possible. When it finally touched there was a loud grinding sound. I was able to turn off the runway but could not get past the hold short line to clear it completely. Contacted ATC to inform them I had a problem. ATC closed the runway. Emergency services came and I exited the aircraft. The damage was to the front landing gear but there was no prop strike and no injury. The strut had bent near the bottom and the wheel was curled or pushed back so that the fork was contacting the ground. After consulting with emergency services and FBO ground crew; I hooked up the tow bar to the front gear and they assisted by holding downward pressure on the horizontal stabilizers to keep the front forks from grinding while I hand towed the aircraft off of the runway and then off the taxiway. A tow vehicle was brought and we towed the airplane to an on-field repair shop.