Great to hear about your plans for a new shack, always exciting to do such stuff!
There'll be more than plenty that will probably 'advise' on the electrolytic capacitors in your radio with the usual "needs re-capping mate". My advice would be to completely, utterly and totally ignore such ass-gravy.
Honestly, I can even give you a million reasons why, point to technical documents and give first hand experience that after many decades of personal service both hobby and within the industry that it never needs doing. The exception to the rule can be filter capacitors in old power supplies, both linear and switched mode as well as high voltage circuitry or when some numpty has damaged the cans from lining them all up like little soldiers. Sometimes people have bunged them in old motors with faulty rectifier/regulator circuits, (my car battery keeps going flat scenario), whacking some higher voltages into radios. That usually occurs in CB's with cheap-as-chips bill of materials and seldom in ham gear.
So that's one worry out of the way.
However I would just as precaution power it up and then off again in case something is amiss. (No fuse popping - make sure it has the correct rated fuse!) Worth giving it a gentle rattle around first to make sure no screws or some such have come loose or dropped in a grille.
You might find that the internal Lithium battery has become flat after so many years of slumber and there are a load of details on the old internet of how to perform a change including some good videos. If uncertain of your skills it shouldn't cost much to have it serviced for such.
If you do have it serviced be prepared for the loads of bull regards realignment, it might need checking over or even a touch up but shouldn't cost a fortune. (Be aware of unscrupulous outlets that will offer you a 'scrap' value for it - the second hand price of such radios is still fairly high!)
If it was me I'd happily power it up and see how the old girl does.
I have a radio from a slightly earlier time (Yaesu FT757gx) and had a heck of a time restoring it after it obviously had some extensive use with wear and tear (VFO dial etc.) It also didn't help that someone had used it for CB with everything that could be twiddled inside it maladjusted to the umpteenth degree!
Despite all that it was fairly much all there and I was glad to restore her.
Hopefully yours is much as you left it knowing it should work much as it did.
Antennas - a hot pot of any radio discussion.
Some will swear blind by the G5RV and others will spit with much venom about any so called failings with them. Some love end-feds being so easy to install but they can come with their own issues. I always say that any antenna is better than no antenna and that's certainly true if the antenna works for you.
Dipoles are easy and work great so long as you can get them high enough....but you could find yourself with a lot of them! (I had a multiband fan array to start with to cover each band I wanted.)
I now have a simple 44 foot doublet (dipole, two wires, whatever) with a homemade ATU due to the shortcomings of some commercial types that simply 'run-out-of-steam' where they can match some bands but not others. Small capacitor and inductors values can be to blame along with terrible 'baluns' or chokes of the typical 4:1 kludge-factor type. Despite this 'small' antenna I can work every band from 160m to 10m that my radio covers and happily getting digi-mode contacts as well as brief SSB QSO's.
(I don't talk much....not that it's obvious by my postings on the forum!)
The nice thing about it is that it's firmly hidden in my loft/attic space so not one neighbour sees it to make complaints that I'm interfering with their washing machine or whatever!
The most neighbourly thing you can ever do is have a chat with them whilst you're installing an external antenna making sure it isn't an eyesore or going to affect them in any way. If they come home from work one day and find you've hoofed up a dirty big tower to transmit to the cosmos they'll obviously have something to say. (Or probably complain behind your back to council officials or what not.)
Some might concern you with QRM woes with most of today's interference coming from everyone's electronic gadgets but it's also not as bad as some would make out. Usually it's your own gear on your own mains causing such interference so worth doing a mains power down and a battery run of the radio to see if it is actually you. (Cheap eBay mobile phone chargers and USB outlets were the bain of my life until I removed them all and told the missus to stop buying them!) Never forget that a lot of so called QRM is actually atmospheric noise and some bands can suffer more than others at times.
Anyway, before I waffle too much (too late Victor!) you've got a world of options to explore and discover.
I find myself excited for you as much as I immensely enjoyed setting up my 'station'. It's an awesome feeling especially if a good contact or QSO comes from your endeavours.
I wish you well with it all Paul and don't forget there are a lot of really helpful members here at Charlie Tango more than willing to provide input or help for you. So just you fire away any questions you may have and enjoy what you do.
Oh, and post pictures up or write postings of your progress should you wish as we all love nothing more than hearing about peoples radio adventures.
All the best to you,