There’s a ton of important stuff to get set in stone asap.

This Irish job: if your base pay isn't much better than your present one, which is not adequate for your needs at all, the same thing might apply in Ireland too. (Which employment visa are you pursuing?)
The cost of living here is shockingly high, and on top of that, accommodation of even the meanest sort is ferociously hard to find, but if found, is often prohibitively costly.

Provision in schools for children with special needs can be very patchy, and medical and social support difficult to access. The health service, though well-intentioned, is grossly mismanaged and uneven; even signing on to a doctor’s patients list can be a problem. Unfortunately, private health insurance will be necessary if you've a child. Just in case.

Back to the job though: I’d be <> cautious about the promised bonuses etc, which you are seeing as guaranteed salary boosts. Anything might prevent your being paid these top ups, whether through actual employer deviousness or Acts of God, and so you'd do well to calculate the immediate future according to the actual basic salary. Don’t overlook higher income tax than you are used to. (Bear in mind that unless you are Irish or other EU citizens, you'd not be eligible for government benefits as family financial support)

Whereabouts is your job? Unless you'll be in Dublin city, you may find public transport very unreliable. I’ve always thought our railway service good by the standards of, say, Britain, but it’s very scantily spread around the country, so one has to rely on inter-city buses for many major journeys.
Now me, I really love that mode of travel, but one if its charms for me is its conspicuous lack of children as passengers, unlike on the train! So think of this if your young lad needs a certain environment for travelling. (Buses might be too restricted in terms of space and freedom to move about, for example. Is there a railway station handy for your new place?)

Needless to say, the majority here drive cars, as it’s a case of having to, for most. If that’s in your plan, it'd be a great idea to find some abandoned airfield and a right-hand drive car with which to practise. Driving on Irish roads on ‘the wrong side’ can be very alarming.

I’m sure you have most of this already organised/ dealt with, and are aware of drawbacks but rightly see the many, many positives about living in Ireland. As long as you are being clinically realistic, clear-sighted, your spouse as keen on the plan as you are, and you both are ready for things to be all kinds of challenging at first (I mean really tough tbh), there’s no reason things wouldn’t work out.

But get that job broken down into all its constituent parts, all its guarantees and above all its caveats, and scrutinise it all with forensic care before you do anything else. Apologies for the lengthy reply; but best of luck to you all. 🇮🇪