I enjoy coffee but until now it's either been a Nescafe

or a weekly stop at a local independent coffee shop.
Every so often I buy some grounds from the supermarket to use in a cheap one-cup coffee machine. The taste is not great but usually enough to get me interested in improving the experience, on a budget. For quite a while I've intended to order an Aeropress but it never seems to happen.
I've spent quite a while flicking through this thread but due to the length (and age) of it I've been unable to be very thorough. With this in mind I apologise if some of the questions I'm going to ask have been answered previously. Irrespective, any answers to these questions directly would be very useful.
For ~£20 - £30 what's the best way to get a good coffee (relative to the other options at that price point). An Aeropress? A Moka? Something else (French press, etc)? Would it be worth buying more than one of these options (E.g., if they both excel at different things)?
In addition, what other items would you recommend that are reasonably inexpensive but give a greater flexibility? Let's assume another small budget is available for these - I've no idea at the moment but trying to get an idea of what might be required and at what cost. A milk frother to make lattes, etc? The Bodum 1446 Latteo Milk Frother is available below £10 at the large jungle store and gets excellent reviews.
Regarding grinders; is it possible to get a decent (burr?) grinder on budget? Either manual or electric? If so, what are the recommended models? At this price is it best to simply buy grounds? I like the idea of a grinder but I appreciate that at this price point it may be a false economy as I'm going to end up with poorer coffee than saving the cash and just buying grounds. Any recommendations here?
Anything better than this? Any other "recommended" or "must have" accessories?
In addition, if there are any specific points that I must know, as an absolute newcomer to "good" home coffee I'd like to hear them.
I'm sorry if this is somewhat disjointed and probably will require a lot of prompting for me to redefine my questions however this is quite an accurate reflection of how confused my head is after spending a few hours deciding what's what. I know, in regards to the money some spend on here, the cash values I'm talking are small but I don't want to end up making coffee poor enough to put me off entirely.
Thank you!
