Coolant:
I did it on my Micra a year ago. I just took the bottom hose of the rad and let it drain.
I then turned the engine on for a second to push the rest of the fluid out.
Refit hose and fill with water - I had a cap on the top of the rad that I took off to let air out as I filled up from the reservoir.
Squeeze any rubber hoses on the coolant system after refill to get rid of any big air bubbles.
*********MAKE SURE YOU DO NOT JUST FILL WITH WATER YOU MUST USE SOME COOLANT SYSTEM ANTIFREEZE TOO OR COME THE WINTER YOU ARE IN A MESS!*********
Oil:
Stick car up on ramps (basically 2 wedges to give better access to the sump, but this is not essential on most cars. The oil filter is a **** to get to on the Micra and must be accessed from underneath.
Engine should be a bit warm as oil flows better this way. Not full engine temp though as don't want to scold yourself.
Undo the sump plug and drain out.
Bash a screwdriver through the old oil filter and use as a handle to undo it.
Wipe a finger of oil around the new oil filter seal and fit. About 3/4 of a turn iirc, not as tight as you can!
Refit sump plug, with a new copper washer on it - This needs to be done to a certain torque.
Fill with oil (oil grade and quantity I am unsure on your car).
When filling with oil, only fill it to the minimum line as it takes a while to run down the sides into the sump (a year or two ago I filled the Micra to 'max' and the next day when I checked the oil level again it was over max. Not a big issue though as the crank is there so even a small amount of oil raises the level a lot so it was not as bad as it appeared at all).
*********MAKE SURE YOU DO NOT START THE ENGINE WHEN THERE IS NO OIL IN THERE OR THE ENGINE IS RUINED*********
The jobs are quite simple to do and you will feel like you have achieved something when you do it

. For a 1999 Clio don't worry about garage service history but always keep receipts of stuff you have bought to prove to the next buyer that you did care for the car and did service it.