Welcome MelBel! Congratulations on your new bunny!
Just to add to the good advice already — Just give him time. This is all so new to him. Instead of fully engaging with him, just hang out on the floor and let him come and investigate you. Body language is very important and many times bunnies will convey that they are not going to harm the other by just ignoring each other and going about their business. They just slowly work their way over to investigate.
I also agree blocking under the bed is a good idea but give him a hidey box or something that he can feel safe to go to if he wants. (a plain ol cardboard box with a couple of exits/entrances will do.) I think the fact that you have to reach out for him and then get him out from under the bed is scary for him and so he feels threatened hence why he is reacting the way he does. Especially since this is all so new — he hasn’t known you long enough to trust fully, and some bunnies really need that time to get used to you.
He actually sounds like he is just trying to adjust. So for the next week, I advise that when you let him out of his pen/cage, block under the bed, and then just grab a pillow and hang out n the floor — listen to your ipod (or whatever), read, use a laptop, whatever that will help distract you from wanting to reach out to him right away.
Then when he comes over, just ignore him, but have a healthy treat ready –(you don’t want to give too many treats, so use pellets or some greens that he is already used to, or use some of those “matchstick size carrots and just cut them in halves). Then when he comes over to where your hand is,give him a treat. If he runs away when you move, then next few times don’t reach out, and try again later.
Also, make sure your dogs scents are not on your hands right now. That could make him more cautious of you.
With a little patience, he will begin to trust you.
Keep us updated!