If in fact you do have comparatively big hands (for we all think they're big in the beginning when trying to squeeze multiple fingers closely together), I'd say just be an optimist about it.
Bigger hands may have given you the gift of inherent above average strength compared to more wiry/skinny fingers and hands. Thus, you might be less prone to fret buzz from weak pressure, or be able to do wide string bends while adding vibrato with ease. Someone already mentioned SRV having "hands like a bear"...this certainly facilitated being able to use heavy string gauges (that were vital to his full sounding tone), yet still he was able to bend, hammer-on/pull-off, or just plain fret them with a commanding strength.
Of course muscle memory, techniques, and even individual finger strength and dexterity won't come without practice...but perhaps you already have some advantages to getting there.