Why not just use the existing BB with the new crankset? Is that spindle the non-tapered type?

You could just press in a new axle if needed. MOMBAT has a few sizes Klein spindles for about $40.

FWIW, I pulled the BB on my old Lambert with a long 10mm bolt, a nut, some washers and a 36 mm socket. That way you pull the axle and on bearing out. The take a punch and drive the other side out. Then you figure out how much the new spindle needs to clear the left side, press the bearing onto the spindle, the press the bearingi into the BB shell. Then press the right side bearing on the spindle into the BB at the same time.

Phil ABEC 10 bearings are about $10 each. So for $40 for the Klein spindle, $20 for the Phil bearings, and maybe $10 worth of hardware you'll have a solid smooth running BB that needs no adjustment and is very low maintenance.

BTW, I'm not sure about the year of your Viscount. I bought my Lambert in 1972 or 1973. It looks pretty much the same, but I think the Viscounts were made after the Lamberts. If it has the non-tapered spindle it's probably and early model, so that would place it about 75 or 76, I think.

Anyway, replace the death fork before you ride.