@timbur, I have had an iPad1 since they came out, I still use it everyday. I will however replace it with an Air2 when they are released this autumn. The Air was the first model which I felt was worth changing for.
Get an iPad but a later model, ideally later than a 3
The iPad1 runs iOS5, the next release is iOS8 (so 5 is very old) and there are quite a few apps which cannot run their latest versions but email, web browing, videos/movies, bbc iplayer, icloud, productivity (PDF editor, word processor), photos etc all work well. The Safari app (or any other web brower like Chrome) does now crash quite frequently as the latest websites which have a lot of advertising are too complex for the iPad1 (probably due to RAM limit in the machine, note that separate from the 16/32/64gb storage).
My gf has the latest Mini and it runs much faster and more reliably. I prefer the larger screen but if your eyesight is good and you are quite accurate with your pointing on the touch screen the Mini is a great package.
If I could get £100+ for mine (64gb) I would probably sell it rather than give it to one of my daughters.