If the handles won't move at all, it's possible that the handle shafts have rusted into their sleeves. Instead of pulling, you might try rotating the handles a bit to break this corrosion. I had to use channel locks to grab the shaft and do this on my old fifth-wheel once. Once they are free, they should slide in/out as normal. I'd clean them up and then lubricate them regularly with a white lithium grease (to help exclude water and prevent corrosion).
2021b Micro Minnie 2100BH
2017 Ford F-350 SRW diesel