Both Blue and TID are regulated here in ireland ,although TID is abranch of a big UK firm whereas Blue is an irish founded asnd based company.
Both are " safe".
I don't wish to sound patronising as you already know this ,but as you're going for a long time you really should study each and every point in each policy -not just the pay-outs and excesses ,but the details/conditions of what exactly are the condtions of each aspect you are covered for. Most especially ,in your case, illness/accident cover.
That is the only basis for booking one or the other , not a few quid cost either way.
Some people believe that it is better if the loss adjustors - the people who basically examine , and resist, the claim, are based on ireland rather than UK or a callcentre in Bangalore. May be worth checking that.