“You have written on reception of Communion under both kinds before, I have a question about this. In my diocese Holy Communion is under both kinds. As a lay person is it acceptable to receive under both kinds or should I refrain from receiving both?”
In this regard you are free to do as you please.
If Communion is offered under both kinds, or species, you may partake of the one, the other, or both as you think it best. You are not compelled to received under both kinds by the mere fact that both kinds are offered.
Neither are you compelled to receive Communion at all during Mass! I think that many less-than-well-catechized people today think that going to Communion is obligatory.
If you choose not to receive, you are free not to receive, as it is best for you. This is the case if, for example, you are conscious of un-confessed and un-absolved mortal sins and you know you shouldn’t receive.