Parents of sensory-seekers, how do you cope?

My 2.5 y/o son's sensory-seeking behavior has been WILD lately. It is CONSTANT: high-pitched squealing/screaming is the background to whatever he is doing, opening and slamming cabinets, jumping on top of or over everything, kicking and hitting things including us and the dog (not very hard yet, thankfully, but it's still not ok especially the dog). Most of the time he isn't malicious about it but he just has this constant need to move and touch absolutley anything and everything that grabs his attention. No amount of correction or redirection is working. He just goes and goes and goes until he starts getting over-tired, before his usual naptimes or bedtime.

He usually wakes up between 5 and 5:30 and we have an 8-week-old baby so I am compley exhausted. It's FUCKING RELENTLESS and I am losing my shit. I've yelled at him once already and after he was kicking me on the couch I dragged his leg over away from me and with the way he rolled at the same time he fell off the couch (not hurt but I feel terrible). This was before 9:30am.

What do we do? How much longer will this last? Would eliminating TV help?

Edit: thank you everyone for the solidarity and the awesome suggestions! I feel a lot less alone and I have a lot of good ideas now.