The 2NT bid agrees the trump suit, and indicates you have a minimum expectation of playing in game, and is not 'strict' in terms of shape or count. The bids after 2NT are a matter of partnership style - personally I like ascending cue bids for any slam interest, 3 of the opening suit for sub-par openings, 3NT for 4 card suit openings (won't apply if you play SAYC or other 5 card major systems) and 4 of the opening suit as fairly minimum (<15), shapeless hands. For me, splinter bids suggest a more shapely hand with game possible because of distribution rather than HCP strength, and with the specified shortage as the main feature of interest (less likely to hold AK in a side suit for example).