Even with the older pipes it shouldn't be too hard Lisa
B&Q and Homebase usually have 'how to' leaflets at their tills or maybe have something on their websites ?
You should be able to pick up fittings that allow you to attach a piece of new pipe and do the connections to the new suite - ask in your local hardware/DIY store. Providing you've not got lead pipes it should be okay I think. Some taps come with a length of flexible pipe attached already - they make things so much easier and go for compression fittings over the ones you need to solder
Providing you switch off the water before you start (and empty any supply tanks) you'll not flood the place
If the old suite's in good nick, consider listing it on ebay once you've got it out - some folk will pay a fortune for 'vintage' bathroom suites and I think the blue is one of the more popular colours (as opposed to avacado and brown)