As well as 'climbing to flight levels' (useless info) and notwithstanding what the AIP says, stating that you are climbing to a level for which you do not yet have a clearance triggers the usual 'remain clear of controlled airspace yatter yatter', requiring yet another acknowledgement. By simply saying: 'departed xxx at..., estimating yyy at..., request FL.. you should be giving ATC enough of what they need and the confidence (usually) that you are well aware that the level you desire will need a clearance. They don't tell you 'not cleared to land yet', so I dunno why they have to feel obliged to warn you to remain clear of CTA.
If yyy is not on a direct track from the departure point, it may be relevant to state what direction you are tracking, but when it is in a straight line there should only be one possible track so that too seems to be inserting extra words just to sound kool (and of course to show that you know the AIP word-perfect, which clearly I do not).