If you're an 'average' farmer in Ireland you probably do not interact with the Roman empire directly but you probably experience it through the people above you on the social ladder.
Even before the Claudian conquest of Britain in AD 43 Roman objects and "fashions" are making their way into Ireland, the most archaeologically visible facet of this is in a surge in the deposition of personal ornament such as beads and brooches from around 100 BC to AD 100. The brooches in particular are a markedly different way of fastening clothing; previously, it was metal dress-pins that would have served this purpose (simple bone pins would have sufficed for you, farm-hand). These are mostly Romano-British types, such as bow and plate brooches, showing that Britain was, perhaps unsurprisingly, the main contact point between Ireland and the Empire. Interestingly, brooches were rather popular on the continent well before this point in time, whereas Ireland, though importing other items from the continent, such as torcs, import essentially no dress fasteners until the 1st century BC, instead, the local dress pin is paramount. Glass beads survive very well archaeologically and we see them in burials as well as loose in excavations, the largest group of Roman type beads in Ireland are Faience (a sort of glass paste) melon beads. Beads were strung singly or in groups and are very colourful, with light blue being a very common colour.
The conquest of Wales finished up in about AD 77 and it should come as no surprise that the earliest Roman coin found at Drumanagh (a site on the Dublin coast with a large amount of Roman material) is from AD 84. The site was looted by people illegally metal-detecting, which removed the material from context (and obviously was biased towards metal objects) but recovered a large amount of roman coins, as well as various brooches, both of local and Roman types, and a local-type horse-bit. The site is generally interpreted as a trade-post similar to Hengistbury head on the South coast of Britain, which was a focus for Roman objects coming into the island before the invasion.
You would also probably have run in to some people from outside Ireland. Particularly on the East coast of Ireland, there are several burials in Roman style, such as Stoneyford in Kilkenny, which consisted of cremated remains in a glass container, and the Bray Head burial, which were found in the 19th century and are now lost, however, contemporary accounts indicate they had a Roman coin in the area of the face. This indicates not only the presence of people who were considered to be in need of this sort of funerary treatment, but also the presence of people who *knew how to perform the treatment*.
So, as a farmer, you probably weren't moseying back and forth to Britain like traders and elites, but you would have seen and heard the news about what was going on across the sea (Wales is visible from Ireland's east coast mountains on clear days, we are very close). You would probably know that a massive military force had conquered most of the island, and that this force was controlled from somewhere else, whether you knew exactly where Rome was is not important. What was important was that they were the new "in crowd" in town, and that all the cool kids (the Irish élite) were displaying their power through the use of objects connected to this power, it being the greatest power in town.