I've found the best way to get stuck into a new hobby is to not make excuses to yourself like "oh but I can't do that because I don't have X or Y piece of equipment". Just start with whatever means you have available and if it sticks then invest some money in the hobby. For example, I had a small midi keyboard so I just started learning on that, then bought myself the cheapest full size electric piano I could find once I'd managed a couple of months of consistent practice.
Also I think it's hard to pick up a hobby just for the sake of it, there has to be some kind of motivation - like the example of me wanting to improve my songwriting by learning the piano. I'm now seeing tangible results and it's immensely satisfying, which motivates me to carry on spending 20-30 mins a day practicing the piano.