Any suggestions would be most welcome, bearing in mind that we are no longer in the first flush of youth!
It all depends on what you want to do with the space. You could hire a rotovator if you want to turn it back to a veg plot. You could make a gravel garden by getting rid of the weeds, covering the space with a liner and finishing off with gravel. Pots could then be placed on this gravel which would be easy to maintain. The area could be turned into a patio if you don't mind the expense and you like sitting out in the garden. I hope you find something satisfactory what ever you do!
Rotovating weeds in never a good idea. Every bit of root that has two ends will grow!
if it's flat ground and mostly grass get it strimmed and call it a lawn
Get a goat!
How large an area are we talking about here and how large a budget do you have? If it is a large area & you have some cash I'd be tempted to get a landscaper in with machinery!
You could consider some low maintenance shrubs and / or the gravel / patio idea if the area is suitable (gravel doesn't get as slippery in the winter if that's a consideration). Using weed suppressant membrane and thick mulches should go a long way to controlling weeds leaving you with a little light pruning once or twice a year. Using mainly evergreens would mean you dont have to deal with loads of leaves in the autumn.
Honestly, a good landscaper is worth his weight in gold, won't necessarily cost the earth & will probably have some good ideas of his own. Cultivating a large area of ground is hard work how ever many miles you have on the clock. If you want to be more active in this just get him to do the hard landscaping & soil prep & do the planting yourself.
Enjoy the end result!