Blaise the lawn should not be around that gutter dump. Easier to just install gravel. We have a 'fad' in the states installing gravel/rock around the periphery of the home just to stop splashing of mud on the siding.
You need to know about your drainage anyway such as; was the foundation asphalt coated before backfilling? Is there a perimeter foundation drain pipe system that sits just below the footing? Is it covered in fabric? Has it been compromised by tree roots or animals? Does the soil slope away from the foundation all the way round your home? What type of rock was used to backfill your foundation.
There is also a free service in most of the states of our country that is called 'Locator Service'...or 'Utility Service Locator'...that when you call them, they are out within 24 hours. You do not want to dig with a shovel or backhoe without this service. They come out and paint the 'lines' of electrical wiring that has been installed, again for free. It is nuts to go and dig around one's home until you KNOW where these lines are. Lots of deaths.
You are looking at where all of your utilities go into your home. Lots of electricity. I would look in your mortgage paperwork. You should have an 'As Built', sometimes nothing more than a hand drawn sketch of all utilities, septic, drain field, under the ground. As well as your property lines, all buildings as purchased and hopefully a few elevations recorded. If I had 2 or 3 of those elevations I could draw the contours of elevation on your site and know where each drop of water that lands on your property wants to go.
More information please and pictures?