AIB, BOI and EBS are the main ones lending currently that I see. I applied for a mortgage to AIB, BOI and EBS and received approval for all. PTSB, Halifax, NIB etc all have much higher rates and are nearly pricing themselves out of the market. AIB / BOI are slightly cheaper than EBS. All rates are on their websites - compare APRs.
In terms of what you can get it all comes down to your savings history, debt, income and out goings and past history will determine how much you can borrow.
In terms of 'Rates (fixed/variable), possibility of a split rate, max LTV rate' That all depends on personal circumstances so one would need more info to answer that question.
In terms of 'banker or broker' I would try both as some brokers don't offer all banks. Also you can then compare.