it's vasodilation, and a very healthy condition for your system to be in. I get it all the time, and look forward to it. The flow of blood through arteries increases Nitric Oxide production, and NO is the main vasodilator.
You might find that as you get fitter, the vasodilation occurs earlier.
We have a 2 mile course around a golf course nearby. When walking I also get swollen hands part way through. It's much worse if I've had a bit too much sodium during the day. I don't know if it's a real problem. I just assumed that the walking, the increased circulation and the hands hanging down created the puffiness. Like you, after I sit down for a bit, especially get my hands up on something, they deflate pretty quickly. I don't worry about it much; maybe I should. Perhaps there's someone who could explain the phenomenon.
I figured I had better say this before I get the wrong answers... The chest pain feels like it's the muscles outside of the ribs, not the heart.