I fly with them quite often, but never take checked-in bags.
I put my suit in hand baggage - a standard-sized 2-wheel carry-on, but at the maximum dimensions.
I usually pay for extra-legroom seats (being over 6ft tall), but they have never checked the size or weight of my bag. I think so long as it fits in the overhead bays it is OK.
I checked with a couple of upcoming Easyjet flights for the price of a checked-in bag. One was GBP46 per bag up to 23 kg; another was £35 per bag, so it looks like you are toward the top end of the price scale.
For GBP60 price of a checkd-in bag (ywo ways) you should be able to get a nice carry-on bag with appropriate pockets, containers and so on for suits. computers and what have you.
Mine is a Samsonite that cost between £100 - £120 a couple of years ago. One of the best buys I've made, since I travel a lot, and never have checked-in.