It's not easy but it's pretty normal. I found some relief towards the end of the first month, at first for short periods, then gradually for longer and longer periods at a time. I'd really only use the 'dry drunk' description with someone who has been sober for a few months and hasn't really made any progress adjusting.
It really is why we say to take it day by day, and to break down into smaller bits what we wish to accomplish. It's a process of re-education and relearning - physically, mentally and spiritually. That all takes a bit of time to sort out so it's normal to also feel emotionally up and down or all over the place and irritable at times.
Take care and don't overwhelm yourself. I spent a lot of time in the first few weeks wanting everything now, questioning over and over again. It's best to take the early phases of recovery one small step at a time. There are lots of big questions and issues you can go through later when your thoughts are calmer and clearer.