A couple of tips that helped me, perhaps you've already tried these, perhaps you haven't. Make sure you're not restraining him, just let him move and keep moving your hands so the free one is in front of him for him to move into, then as he moves off of one hand, move that hand in front again so that he can keep moving if he chooses, but never leave your hands. I had a baby that was REALLY fast and I was scared to lose her, so I took a big box and held her over top of the box. It really calmed my nerves to know that if she got away from me, I wouldn't be chasing her all over tarnation trying to catch her again. The value of a BIG box rather than holding inside of or over her cage was that in her cage there was always somewhere for her to go other than my hands, but over the box, the edges were too far away so she was encouraged to rather move onto my other hand as it was the only other safe place to go. I hold for a few minutes and end as soon as things seemed to be going well. After a few weeks I noticed a huge improvement.
Another tip you could try is going in when he's sleeping. Lift the hide and quickly but gently scoop before he has a chance to wake up. That reduces the "chasing".
When they were little I would also sometimes put them down on my lap and let them crawl around, using my hands to block them if they tried to escape, but otherwise letting them explore or hide as they chose.
Persistence and patience is key. A few minutes at a time, every other day or so. After a few weeks your confidence will have increased, and your baby's stress will have decreased. It just takes time. And before you start take a deep breath and make sure YOU are calm. That will also help a lot!