Hi
If you are looking at a flat/house near the station, then you'll be a few hundred yards from where I live!
*Italian Brooklyn accent* Don't worry, I'll make sure you and your family are safe !
/end joke!
Overall, I'd say you don't have anything to worry about in terms of this area, it's busy, there's lots of movement through the day and evenings - you'll see me walking my dog each night as well ! To give a bit more perspective, I've often thought about safety when I see lone female's walking home from the station after a days work in London most likely when I walk the dog. I initially always think, 'you shouldn't be on your own' then a few seconds later, I see that it's always busy, and I've never seen anything bad unfolding or happening in front of me each evening.
For a complete perspective, then this area is like any other large city or town, there is incidents and going's on but it's not any worse as it were.
Drop me a PM if you'd like, can always drop by for a chat and a cuppa tea or a pint and I can give you some more ideas and pointers!
Cheers, DtM! West London & Slough UK!