I grew up with my two lovely and hyperactive beagles, the ones you see in the pictures, who I still visit every time I go home. I am used to taking more than one dog for a walk at a time but if you prefer for me to take yours alone it can be arranged.
I adore dogs and would love to take yours for a walk in the park! St. James's Park is the closest and my personal favourite.
(Weather is not an issue, dogs need the fresh air)