There was a time when I had a book and googled articles on 'reed adjustment'. I 'tested' all reeds in a box of 5 and marked them as being 'slightly too hard', 'slightly too soft', 'fine', etc. I'd then 'adjust' reeds as @skeller047 suggests. Occasionally clipping reeds that just felt or sounded 'too soft'.
I've posted this link to
Professor Emeritus Steven Mauk's article on '
Reed placement and adjustment' at least 10 times on the cafe. Just because it completely changed my understanding and practice of 'reed adjustment'. It may not be for everyone but after reading this article, I stopped physically adjusting reeds. I became much more careful (in mm or less) about how I positioned different reeds on the mpc. By trial and error.
Since I first read Steven Mauk's article, I started to 'finely adjust the position of my reed on the mpc'. Since then, this has become pretty much my only 'reed adjustment'. If I have any 'squeaks', I of course check that the reed table is still flat. But in general, I no longer need to physically adjust reeds by sanding or clipping. I just use micro-adjustments of the position of the reed on the mpc to 'adjust the reed'. This approach enables me to play pretty much all reeds out of a box of 5 or 10 after a 5-minute soaking in water.
I should add that (as an amateur) my ears are perhaps not all that 'finely attuned' to the sound qualities of any specific reed. If if plays well and sounds good across the whole tenor sax range, then I'm happy.
I've played tenor sax now for some 30 years. And I fully realize that the more playing experience one has, the easier it is to adjust to different reeds. I've occasionally 'upgraded' my mpc to a wider tip opening whenever I felt that the previous one was 'restrictive'. That usually involved choosing a (lower) reed strength. It took me years (finally via a
Van Doren YouTube video) to find the reed brand (Java Reds) and strength that best suited my current mpc's and embouchure. What I mainly discovered was that Van Doren's V16 reeds (previously branded as 'Jazz reeds') were in fact the 'stiffest reeds'. I tried Ricoh reeds which were much softer and easier to play out-of-the-box. But I found they lasted less long that Van Doren reeds.
So whatever approach you choose (buying softer reeds, physical adjustment or 'positioning adjustment) - or any combination of these, I wish you well.
For now, @skeller047's tips are a good way forward. Alternatively, you could consider Ricoh reeds which are generally a bit 'softer' than Van Doren. A good sax shop might enable you to try out different reed brands and strengths to decide which one suits you best.
Mike