I've already had the same problem at home and I managed to change the cartridge myself, so it's totally doable without a plumber if you have some basic tools. Most cartridges can be changed in less than an hour. First, shut off the main water supply (the main valve), then remove the trim ring of the mixer - there's often a hidden screw under a small chrome or plastic cap. Once you have access to the cartridge, unscrew it and take it out. Before you throw it away, bring it with you to the hardware store to get the exact reference number, otherwise it's gonna be a nightmare finding the right one.
Keep your eyes on the seals and small parts that fall during disassembly - honestly that's where you lose time searching for stuff on the floor. When you put it back together, make sure everything goes back in the right order and that you've put the seals back properly, otherwise you're gonna have leaks again. The new cartridge costs like 15-50 euros depending on your brand, so it's way cheaper than calling a plumber. If after the change you see there's still a leak somewhere else (like at the main connection), then you can think about calling a pro, but generally it's just the cartridge that's the problem.