This set, recorded in 2006, offers quite a clear choice for period music enthusiasts. Both are equally well researched and period aware and the players on both discs are equally capable of overcoming the problems for playing these, often tricky, instruments. The recorded sound in both cases matches the characteristics of the performances.
Pinnock. on the earlier and still excellent disc, offers rather more incisive playing with more bite and rhythmical drive throughout all six concertos. Egarr, on the other hand, provides a more rounded approach to both the interpretations and to the sound he draws from his orchestra. It would be quite wrong on this basis to say that one is better than the other or that one is more musical than the other. Preference between the two might well reflect the mood of the listener who may favour the more bracing approach of Pinnock one day and the warmer, more mellow approach of Eggar on another day.
This cannot therefore be a definitive review that states which one to buy. My suggestion is to try and decide whether mood is likely to be the closest to your own personality or fundamental character then choose accordingly. If in doubt, you can only gain musically by buying both as Handel's music will satisfy either way but quite differently.