Edgard,
Que fantastico este piano! Hamburg, B; boy - that's really nice.
It sounds to me the technician you found just wants a bit of your money. I grew up in Caracas, which has weather not entirely dissimilar from Panama City (yours perhaps a bit warmer, but not particularly humid in the way summer in Florida or Georgia is humid), and most importantly without big swings in humidity or temperature. If your piano has been in that weather for a long time, be mindful that some of the analysis and advice and rules of thumb about piano maintenance are myths and traditions that assume four distinct seasons and rather dramatic changes in humidity, neither of which your piano suffers.
Changing strings every 25 years is, in my opinion, absolute nonsense. The truth of the matter is that hammer voicing and wear has a much more significant impact on how your piano sounds, followed closely by the health of your soundboard and bridges. If you have no cracks in your soundboard, and assuming there is good crown and the bridges are well connected to the soundboard and have no cracks, what you really want is a technician that will recommend voicing the hammers often (how often depends on how picky you are; I am exceedingly picky and have mine voice every 18 months or so).
If your action is well-balanced to begin with (very few are), you are not going to be very happy with filing down the hammers when voicing is no longer a viable path. Here is the theory: the hammers get harder and harder where they hit the strings (you probably can see groves on the hammer). There comes a point when the groves are beyond needling, and very often the solution prior to replacing the hammers is to file them down to where the fresh material starts. The problem with that, for me anyway, is that in filing them you change quite dramatically the weight of the hammer, thus affecting the action (that is, the touch-weight and mass proportions of the key strike). Filing also slightly (but significantly) changes the strike distance for the hammer. That makes for a rather uneven action, even if done carefully and readjusted. I am yet to find a technician that will take the time to do this operation in such OCD manner that the filing will be gradual and consistent across the keyboard (although, note my current technician has not been faced with this situation yet; I love her, she's is good and is keeping my pianos happy these days).
Which leads me to the real answer to your question: Do not replace the strings unless they are broken or if there is a lot of rust everywhere (and if there is, you have other problems). Instead, consider getting a brand-new set of hammers if the piano has been played a lot, or just a bit of voicing if it has not.
Now, regarding pins and the tuning block. If the piano holds tune for 6 months at a time, you should not change the pins at all. The theory about bigger pins is that they will be more snug and then hold tune better than pins that are loose in their holes. Nonsense. If the pins are loose in their holes it is either because the holes were drilled wrongly to begin with (very unlikely in a 70's Hamburg Steinway B), or because you have a broken tuning block (in which case larger pins will at best be useless and at worst further break the block). But consider this, even if a few holes were too big, replacing the whole set of pins with bigger ones has the very serious risk of cracking your difficult-to-replace tuning block. This is bound to happen, and eventually will require re-stringing the instrument twice (the second time when you have to get a tuning block, which in this instrument is totally worth it, if you are in that unfortunate situation).
The short of it is: fire your technician and try to get a new one, even if you have to bring him or her from abroad. Do not fully re-string your piano unless you are replacing the tuning block or the soundboard (both operations will require taking the old strings off, and once off it is a very bad idea to use the same strings back on - at that point you really want fresh ones). In other words, you would restring the instrument not because you need a new set of strings, but because you had to take off the strings and should not re-string with your old ones.
Buena suerte!