In reply to stuartgmilton:
Closest I've been been to an eagle was about 5 miles round the coast from Fionnphort on Mull. There was a pair of white-tailed eagles with their young nesting in trees in a remote bay. They were not very happy about us being there and flew around above our heads keening. They were as close as 20 yards away. What a sight. I've seen golden eagles many times from further away in the North West Highlands, occasionally from the road, but more often while out on the hill.
I met a fellow on Harris this summer who told me he came across an eagle there late one autumn that was so gorged with salmon, which come up to spawn in the head waters of the river systems at that time of year, that it couldn't fly away and just hopped around on the ground a few yards away from him.
There was a family of otters that lived on an island in the loch in front of my folks' house up north. We used to watch them from the house playing in the water just like humans play with their children at the swimming pool. The adults would swim along and the young ones would come and try and climb up their backs, then they would wrestle and and dunk one another and chase each other around. Very cute.
Eagles and otters are fairly territorial. If you happen to be on their stamping ground, you stand a good chance of seeing one, if not you're your chances are pretty slim.
If you see a bird of prey and you think "that might be an eagle", it usually means it's a buzzard or some lesser fowl. When you see an eagle, you are in no doubt. They are just huge.
I saw a couple in the Italian alps this summer in the Stelvio National Park.