Your powers do not come from a Shard but from another source like your genetics, soul, and the like. You can only select powers from the Shardless category. Some Perks and Drawbacks may be restricted.
You can choose whether all your powers are distinct or facets of a greater whole, in either case, they will be able to affect each other and/or synergize together unless explicitly stated. Over time, the synergies can change or reinforce depending on how your powers grow.
Note that all Shardless powers by default have compatibility with powers of any kind.