I need to build a baby gate for my dogs?

They actually make gates specifically for dogs. Also, you could just go to any store and buy baby gates in the baby section. You can get wooden ones for under 20 bucks. The dog ones are more expensive but they are more durable.

For your situation, the gate must have vertical stiles with no horizontal rails. Dogs can climb over the gate by using the rails. The stiles should be 1" x 1" no more than about 2" apart for strength. The height will be dependent upon the size of your dog - 36" to 42" high.

Since dogs are strong, I would put a hinge on each side and attach the gate to the wall. I would make the gate into two 24" sections so that you can open it without the full width of the gate extending into the room. Use a simple latch to keep the gate closed when needed.

Similar to this design.

http://www.cabelas.com/kennels-carriers-richell-ex...

Find a baby gate and sheet 1 side with some quarter inch plywood( the sides the dogs will be on. double check the thickness on the ply to make sure it won jam. If it is too thick u might try some panelling.

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They sell balcony railings and small fence panels at Home Depot & Lowes. You could put some wheels or castors on the bottom to make it easy to open. You may want to tie, or bungee cord it to the existing rails.