Identifying bottom bracket type
Looks like you have a standard 'English' or ISO standard threaded bottom bracket shell. These have 1.37 inch (34.8mm ) diameter threads of 24 threads per inch. Common width for road bikes is 68mm You can easily verify this by measuring the inside diameter of the shell and the width.
You might also have a 'Italian' threaded shell that has slightly smaller threads. See https://www.sheldonbrown.com/cribsheet-bottombrackets.html
For 'three piece' type cranks where the axle is part of the bottom bracket you also have to consider the axle length. Cartridge bottom brackets typically come in a range of axle lengths and the correct length must be selected so that the crank chainrings have the correct chainline (distance from center of the frame to the chainring).