A year ago I was in almost exactly the same position, except I was 44! Have now been playing 2-3 times most weeks and have had a few lessons along the way. My advice, I'm sure the Adams clubs will see you fine - they get good reviews.
That said, I bought the Top Flite XL set to start with - they were relatively cheap and fine for me to take lessons with and get some good results. The driver, fairway wood and hybrids are amongst the easiest and most forgiving I've ever hit. The irons and rest of the set were just fine. Just don't expect massive distances to start with as these clubs will help keep you on the fairway pointed in the right direction - believe me, the main aim was minimizing lost balls for some time. I have now moved on to Mizuno JPX 800HD which gives increased distance etc - but much more expensive and only worth it once you've got the golf bug. If I ever have trouble hitting my new RBZ driver, I go back to the Top Flite driver and my confidence floods back as it's always good for 180-200 yards in a straight line (although it goes much further in experienced hands).
I also lend out my Top Flite set to my friends who have never played before - the guys universally love them and end up getting the golf bug as well. Incidentally, Top Flite are owned by Callaway.
Hope this helps.