Best connection/cable to use in order to get >1 gig speed between a switch and dream machine SE that are in 2 different rooms

My house has a network closet where all the ethernet of the house terminates into. But this cubby is cramped and my dream machine barely fits in there with my ISP modem. So I want to replace the dream machine with a switch. I'm planning on connecting all the ethernet cables to this switch, then connecting that switch to my DMSE that I will move to another room. I need >1 gig speed at the switch (well at least for the 2 ports for my APs) because I have 2 gig internet. What's the best way to connect the two? I don't think I have enough 2.5 gig Ethernet ports on the switch/DM to use Ethernet