[old_tv_nut]

You do not need any scope probes, but you do need cables with connectors that fit the B&K

The way the B&K works is as shown in its diagram.
Instead of connecting a scope probe to the TV detector test point, you connect the B&K direct probe to the TV detector point. The B&K then adds the frequency markers to that waveform and outputs the combination of sweep waveform and markers to the B&K connector labeled "To Scope vertical input." Connect this to the scope Y input
Connect the B&K connector labeled "To Scope Horizontal Input" to the scope X input.

The alignment procedure you posted assumes that you have separate sweep and marker generators, but with the B&K they are combined internally and you do not need the resistor and capacitor assembly shown in figure 6, and do not need to connect the scope directly to the TV.

In one sentence, the TV is connected only to the B&K, and the scope also is connected only to the B&K.