Well the question is would it be worthy to expend $200.00 building a desoldering station with similar characteristics on power?
I would not spend the time nor money to build a desoldering station that uses some generic "desoldering iron tip and arm with vacuum bulb = $15.00" The tip is possibly crap, and who knows if you can replace it in 5 years.
will it have a similar or better perfomance than a Hakko?
Matching peak performance of a desoldering gun under optimal conditions is not that difficult. It's the longevity, reliability, ease of maintenance, parts availability/service and the adaptability for different jobs that matters, IMO. Yes, I think it is possible you can achieve great peak performance for specific test conditions. No, I don't think you are going to match anything else without 400 hours of work, testing, redesign, and a much larger investment of money/materials.
Any recomendations to reduce costs? specially on the PID for temperature control, Should i use a diferent aproach or cheaper method to control temp?
Yes. Forget PID. PID is used to control temp curve of things that have a known mass. Since the mass of the dsoldering iron tip changes when you put it on a joint, and the thermal load of a joint is not a constant, PID is pretty much completely worthless for a soldering/desoldering iron. IMO. Thermostatic control is more than sufficient. PID will only help decrease over/undershoot when the iron is not under load.. and this is not a significant improvement to performance. It's hardly worth bothering about, to begin with. Simple thermostatic (e.g. comparator) temp control is sufficient, IMO.
Should i get a cheaper and less powerful vacuum pump?
I have made one with a 12V 16 Hg pump. And it worked ok. But it worked better when I doubled the voltage... up until I burned it out. OTOH, the better pump you buy, the more money you are probably just pouring down the toilet.
Or just . Should i wait a little bit until feb. next year and buy a Hakko FR410?
I would wait.
I have seen lots of videos on the same subject with home made stations, but none of them reach this much power or have such a powerful suction on the pump.
So before i star i would like to hear some input on this matter that will be greatly appreciated.
I think you will never reach peak vacuum you can get from a simple spring loaded plastic solder sucker. And power is great, but enough is enough. What are you going to be desoldering that the Hakko can't handle?
I would do this if you find it fun. It is not otherwise a good use of time or money. IMO. And it doesn't matter how great your machine shop and fabrication and electronics skills. Unless you are going to build an actually better station and accessories and sell the design or start up a desoldering station conpany, lol. I say this as someone who makes a lot of my own tools and equipment. Even a good desoldering station is simply not that useful to begin with. IMO. A flaky/fussy one is less than worthless. Unless you got too much bench space... and no one has that.