If I made more $ I'd definitely scout out a good cleaners to do my shirts. The few I've used in Manhattan have destroyed my buttons. Luckily they were on older, less expensive shirts. I'd recommend always giving your least-treasured garments over to a new establishment; once they've earned your trust you can make with the T&As.
I do find ironing therapeutic, but my two biggest problems are
1. If I wait till there are too many shirts it takes me forever - approx. 10 mins. each
2. My results even with that amount of time kinda stink.
I plan to get a steam iron (Rowenta perhaps) and a sleeve board; perhaps with some practice I'll improve.
I will say this: I'll press my shirts but not pants. To complicated, especially with pleats. I get my pants dry cleaned roughly once a year as needed. But shirts are washed after each wearing, "woolens" gentle cold water machine setting, hang dry, pre-brushed with soap and nail brush for stains.