They're fairly static - they hunt via webs rather than prowling around.
They really aren't interested in you at all (or your children

)
Regardless of what the papers say - have you ever met or heard of, in your area, anybody who has been bitten by a spider? - compared to how many have been stung by wasps or bees? not many if at all I'd guess.
They've been here for over 100 years (probably closer to 200) - they're just expanding their range now with the milder weather.
So relax, if you move it outside in all probability another will take it's place - they seem to have a fondness for conservatories.
If you teach your kids to observe and not touch (when they are older obviously) you'll be helping them out. Give them the same respect as you would a wasp or bee - and if you're paranoid, give your clothes a shake before you put them on