I disagree about buying a small trailerable dinghy. But a sailing lesson or 2 could give you a good idea of what it's all about at less expense. Based on your budget that might be a better fit.
Your budget is tight though. A 23 footer is attainable but the more you increase the size for that 6k the more of a project it will be. There are real bargains out there but they are rare. Most inexpensive boats are projects that end up costing more than a ready to sail boat at a higher price.
I think I would forget the shower. They are rare on older boats even at the 30' size.
Living aboard in Victoria Harbour