Zoladex, Prostap, Staladex, Decapeptyl, all have the same side effects which are indirectly due to switching off Testosterone, and not directly due to the drugs. Occasionally, one doesn't work for someone (as in, it doesn't sufficiently switch off Testosterone), and it might be necessary to switch. Very occasionally (I never came across a case), someone can be allergic to one of them, and need to change for that reason.
Firmagon/Degarelix although slightly different (GnRH-receptor antagonist rather than agonist), basically also does the same and has the same side effects, as does Relugolix/Orgovyx if it becomes available on the NHS.
As for the drug-specific side effects, other than occasionally not working or very occasionally generating an allergic reaction as mentioned above, the only significant difference is the injection site reaction, which is worse for 4-weekly Firmagon/Degarelix, followed by Decapeptyl and Prostap which are also both depot injections but not as bad as Firmagon/Degarelix, followed by Zoladex and Staladex which are implants and don't generally generate injection site reactions except occasional bruising, followed by Relugolix/Orgovyx which is a daily tablet.
Another option which is increasingly being used for time limited HT up to 2 years is 150mg Bicalutamide (daily tablet) by itself. That works completely differently and so its side effect profile is different, generally less significant except for breast gland growth which can usually be prevented by combining it with a low dose of Tamoxifen.
There was some mention of the estrogenic HT drugs. Diethyl Stilbestrol is a synthetic estrogen which was the first HT drug. It is still used occasionally as a last chance because occasionally it works when castrate resistant to everything else. However, life long use results in the death of a 1/3rd of those on it from thrombosis, because your liver cannot handle taking significant estrogen doses by mouth, so it would never be used as an up-front treatment nowadays. The PATCH trial uses Estradiol transdermal skin patches. This avoids the toxicity of taking estrogens by mouth since they don't do the "first pass through the liver" which is what makes taking estrogens by mouth toxic. The PATCH trial worked well for all those I know on it, but it involves much more monitoring and continual adjusting of numbers of patches, and I suspect that may make it unviable to roll out at scale. Also, it is more likely to cause breast gland growth, and Tamoxifen can't be used as it stops the Estradiol from blocking Testosterone. I suspect the way forward with Estradiol patches is to add them at a lower dose to the GnRH injections which I talked about with the PATCH principle investigator, but sadly this wasn't part of the trial.
Also, just to be absolutely clear, there is no supplement or food item you can consume which will come anywhere near the effect of HT. If there was a sufficiently powerful estrogen, it would be long term toxic in the same way Diethyl Stilbestrol is. It would also make men (and possibly women) sterile, and completely screw up pre-puberty children. There are no such safe supplements or food items. You might try eating foods high in flavonoids (a plant compound which acts as an estrogen in the body) combined with the GnRH hormone therapy medications to see if they help with side effects. (Not needed if you are on bicalutamide only, as you'll have plenty of estrogens.)