Patzcuaro

There are half a dozen or more bus lines. When you are in the terminal in Uruapan just pick the one that leaves when you want. I know it sounds counter intuitive to the way North of the Border people think, but don't overthink it. There will be buses, they will not be full.

I usually buy my tickets to Uruapan or Morelia online a few days ahead only because I like to pick my seats out in advance. The AutoVias line, the two story buses, have an awesome view from the front rows on the upper deck. The lower deck is (for me) very confining. Parhikuni are single level buses.

I think the taxi was around 300 pesos or so. We probably negotiated a bit... You might even get a taxi when you arrive at Uruapan, negotiate a price for a trip to the National Park with them waiting for you, then taking you on to Patz. That way you will have your luggage in a safe spot. If I were going to try and set that up, I think it would be worth about 500 pesos or so, but I don't know for sure...

By the way, they have secure storage for your bags in Uruapan if you want to leave the terminal and come back.