Ah, I'm glad you asked, GRONK! Constructs, and particularly Minor and Major (non-Master) Constructs, are my field of specialty through my teachings with my Master! There are a number of things to consider when creating a construct, so allow me to outline some thoughts for you:
The first thing to consider is control over the Construct, regardless of its type. Through the use of the common scroll, Constructs can be controlled only by the caster(s) that formed it. Are you yourself a formalist yet, GRONK? If not and you're close, it might be ideal to wait just a little longer to create your Construct, since if you don't, only I will be able to actually command it with orders. If you are a formalist (or when you become a formalist), you are welcome and encouraged to participate as a secondary caster, which will give you appropriate control as well even if you are only a beginner in ritual magic and unable to cast the ritual with your own formal strength alone.
Next comes the subject of what type of Construct you want to make. The ritual scroll outlines a few defined types with typical traits that scholars have managed to deduce by this point, such as the mentioned Quicksilver Soldiers, Gargoyles, and Diamond Golems. A Quicksilver Soldier is a Construct formed of conjured mercury, its fluid nature actually making it one of the more simple forms to sculpt (in my opinion) due to its undefined outer structure once you can bind the animating force to the core matrix skeleton within it. Mercury is a reasonably dense material, making it quite durable and strong, but its liquid nature also makes it malleable and movable, allowing it be healed by Lightning magics and resistant to many common spell effects, such as Binding and even some other elements. All in all, it's a reasonable choice when casting a Construct from a technical standpoint, but I'll admit that I'm honestly not a huge fan of them. The unstructured, fluid nature of them is not my - for lack of a better term -style, and I find the more defined Constructs to be more appealing.
While many would just read the scroll and assume that one should always cast a Quicksilver Soldier, I am pleased to see you considering other options as people really should! The Gargoyles are a particularly interesting branch of golemcraft in my opinion. Gargoyle are peculiar in that they are golems of reasonably common strength on their own, but when they are bound to a specific task pertaining to their chosen duty, their strength amplifies in order to perform that certain task. You may note that the common scroll mentions such examples as a Gargoyle Guardian of Portals, Guardian of the Tower, Guardian of the Gates, Guardian of the Keep, and the Guardian of Forever, with these giving indications as to where the Gargoyle will be most effective.
For example: If you have a Keep, a Guardian Gargoyle of Portals will be able to defend it, but it is not suited to this chosen task and will always remain a bit under-effective. If you have a Keep and create a Guardian Gargoyle of the Keep, however, this Gargoyle will become very effective and powerful when protecting the Keep in its namesake, for that is the task for which it was designed. My Master used quite a few Guardian Gargoyles of Portals during the final stand against the Empire, using them to great effect to block open portals and prevent Imperial reinforcements from arriving. It should be noted that, while I have never cast one myself, I believe that a Guardian Gargoyle of Forever will be most effective when tasked to protect something that has truly been a constant forever, such as nature or time itself. Creating one of these Gargoyles might be simple enough, but finding the exact task for it that will unlock its true potential may be far more difficult. So, in short, if you have a particular something that needs defending, a Gargoyle can be the perfect minion to do so, but only if it is is appropriately attuned to the location it is set to protect.
Diamond Golems are one of the more flashy Constructs out there, and I think I can say with certainty that almost everyone can admire their value. Of course, it is simply conjured diamond without particular value, but the general concept is nice nonetheless. The most prominent strengths of a Diamond Golem are its sturdy nature and countless reflective facets, making it durable, strong, and powerfully reflective against incoming magical attacks. The primary drawback is that diamond, once broken along its lines of cleavage, is very difficult to restore, making Constructs formed from it impossible to heal by means other than Heal Golem charges. All in all, a good choice, but if you are looking for a long-term minion, one you can heal is always preferred.
Now, the interesting thing about the Construct ritual is how almost all casters tend to overlook what my Master and I consider to be the most exciting, interesting, and useful option on the scroll: You can create a Minor or Major Construct through the base difficulty options of a type that is not otherwise specified. Such Constructs are therefore inherently unique and can vary greatly from design to design, crafted from special materials or created with special abilities or purposes. Want a Construct formed from conjured gold, ice, wood, candy, etc.? That's the way to do it. While the material to create any Construct is typically artificially conjured, any construct (and especially these customized ones) will become more potent as more of their genuine material is utilized in the ritual casting itself. For example, if you are creating a scroll golem (or Scrollem, as I like to call them), the end result will likely be more powerful if you build the Construct with existing scrolls and papers during the casting, rather than relying purely on the artificially fabricated materials produced by the casting. A Construct of artificial metheran is one thing, but a golem of primarily artificial metheran that contains pieces of actual metheran is quite another, and the latter would definitely be preferable.
So there are a few thoughts about Constructs for you to consider. I personally am bias towards the option of creating a Construct of a previously undefined type, though you are of course welcome to do as you wish. If you have any other questions about Minor or Major Construct theory, don't hesitate to ask.
May your Words have Power and your Memories be Knowledge,
~ Gandian Ravenscroft
Apprentice to Aleksandr Nitus, Golem Master of the Sheltered Lands