Offer to help out if you know someone doing something, or if they can show you how to do things. I've remodeled bathrooms on my own at this point, but it all started by being that extra set of hands.

The other part about doing work yourself, is having the tools to do it. Start with a basic tool kit and build from there. A few places have tool rental programs which can save you a bit of money especially for tools you might only use once or twice. I've used that mainly for automotive tools.