Backpacking and working out

[bibowj]

Heya Folks- I have a question that Ive been working on for a few days now, and I cant quite seem to come to a conclusion either way...probably due to me lack of experience at independent travel...but here it is:

This stems from a work trip I had to vegas last year. One morning I got up at 6am and went jogging along the strip. Crazy yes, but I feel like i really got a real feel for the city. ... so that got me thinking. On Monday Im off to Europe for a month, and Im thinking of taking my running gear for that same above reason. I will be in London, Edinburgh, Paris and Rome and I think it would be kinda cool to run those roads early in the mornings....

Now here are my concerns:
1- Itll be too damn cold.
2- Showering and laundry at my hostel. Will this just be too much work?
3- The added weight to my pack (Im flying easyJet alot, so baggage weight is a concern)


I know its probably a pretty boring question, but the thought of running next to the Roman Ruins before the tourist arrive sounds amazing to me... so any thoughts, pro or against would be greatly appreciated!