I gather you bought new fixtures, not just new bulbs, and the new fixtures have wires that are too short to reach the distribution wires inside the TM wall.
I don't think there is any practical way to pull the distribution wires out of the TM wall. Instead, the way I would handle this is to open the old fixture, then cut the existing wires off the socket. Don't cut the other end of the wire off the distribution wire. Now you can splice (wire nuts or crimp connectors) the end of the new wire to the end of the old one.
If you have already cut the old wires off the distribution wires, you have no option but to splice a piece of wire onto the distribution wire, and bring it out to the fixture. In this case, because of the limited space, the best way to make a splice may be to use tap connector that does not require cutting or stripping the wire. You just put the distribution wire into a slot in the tap device, and the tap wire into another slot, and squeeze the tap device closed with pliers. Amazon has a number of them, and your local hardware store or auto parts store may, too. These are sometimes called T-taps, but there are several variants.
I have attached pictures of several examples.
By the way, this post belongs in the Electrical section, and I will move it there shortly.
Bill
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